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Finding the Third Proportional to 525,001.50 and 787,918.50

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Solution

The third proportional to 525,001.50 and 787,918.50 is: 1,182,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,001.50 : 787,918.50 = 787,918.50 : x
  2. Step 2: Convert to fraction form
    525,001.50/787,918.50 = 787,918.50/x
  3. Step 3: Cross multiply
    525,001.50x = 787,918.50 × 787,918.50
  4. Step 4: Simplify right side
    525,001.50x = 620,815,562,642.25
  5. Step 5: Solve for x
    x = 620,815,562,642.25/525,001.50
  6. Step 6: Final answer
    x = 1,182,502.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.