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Finding the Third Proportional to 657,004.50 and 726,124.50

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Solution

The third proportional to 657,004.50 and 726,124.50 is: 802,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,004.50 : 726,124.50 = 726,124.50 : x
  2. Step 2: Convert to fraction form
    657,004.50/726,124.50 = 726,124.50/x
  3. Step 3: Cross multiply
    657,004.50x = 726,124.50 × 726,124.50
  4. Step 4: Simplify right side
    657,004.50x = 527,256,789,500.25
  5. Step 5: Solve for x
    x = 527,256,789,500.25/657,004.50
  6. Step 6: Final answer
    x = 802,516.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.