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Finding the Third Proportional to 525,655 and 798,869

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Solution

The third proportional to 525,655 and 798,869 is: 1,214,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,655 : 798,869 = 798,869 : x
  2. Step 2: Convert to fraction form
    525,655/798,869 = 798,869/x
  3. Step 3: Cross multiply
    525,655x = 798,869 × 798,869
  4. Step 4: Simplify right side
    525,655x = 638,191,679,161
  5. Step 5: Solve for x
    x = 638,191,679,161/525,655
  6. Step 6: Final answer
    x = 1,214,088.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.