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Finding the Third Proportional to 524,250,852.75 and 873,646,661.25

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Solution

The third proportional to 524,250,852.75 and 873,646,661.25 is: 1,455,903,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,250,852.75 : 873,646,661.25 = 873,646,661.25 : x
  2. Step 2: Convert to fraction form
    524,250,852.75/873,646,661.25 = 873,646,661.25/x
  3. Step 3: Cross multiply
    524,250,852.75x = 873,646,661.25 × 873,646,661.25
  4. Step 4: Simplify right side
    524,250,852.75x = 763,258,488,713,272,192
  5. Step 5: Solve for x
    x = 763,258,488,713,272,192/524,250,852.75
  6. Step 6: Final answer
    x = 1,455,903,189.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.