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Finding the Third Proportional to 514,753.50 and 775,910.25

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Solution

The third proportional to 514,753.50 and 775,910.25 is: 1,169,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,753.50 : 775,910.25 = 775,910.25 : x
  2. Step 2: Convert to fraction form
    514,753.50/775,910.25 = 775,910.25/x
  3. Step 3: Cross multiply
    514,753.50x = 775,910.25 × 775,910.25
  4. Step 4: Simplify right side
    514,753.50x = 602,036,716,055.06
  5. Step 5: Solve for x
    x = 602,036,716,055.06/514,753.50
  6. Step 6: Final answer
    x = 1,169,563.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.