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Finding the Third Proportional to 402,526.25 and 868,107.50

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Solution

The third proportional to 402,526.25 and 868,107.50 is: 1,872,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,526.25 : 868,107.50 = 868,107.50 : x
  2. Step 2: Convert to fraction form
    402,526.25/868,107.50 = 868,107.50/x
  3. Step 3: Cross multiply
    402,526.25x = 868,107.50 × 868,107.50
  4. Step 4: Simplify right side
    402,526.25x = 753,610,631,556.25
  5. Step 5: Solve for x
    x = 753,610,631,556.25/402,526.25
  6. Step 6: Final answer
    x = 1,872,202.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.