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Finding the Third Proportional to 529,746.75 and 754,660.13

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Solution

The third proportional to 529,746.75 and 754,660.13 is: 1,075,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,746.75 : 754,660.13 = 754,660.13 : x
  2. Step 2: Convert to fraction form
    529,746.75/754,660.13 = 754,660.13/x
  3. Step 3: Cross multiply
    529,746.75x = 754,660.13 × 754,660.13
  4. Step 4: Simplify right side
    529,746.75x = 569,511,904,265.02
  5. Step 5: Solve for x
    x = 569,511,904,265.02/529,746.75
  6. Step 6: Final answer
    x = 1,075,064.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.