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Finding the Third Proportional to 516,678.75 and 754,606.13

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Solution

The third proportional to 516,678.75 and 754,606.13 is: 1,102,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,678.75 : 754,606.13 = 754,606.13 : x
  2. Step 2: Convert to fraction form
    516,678.75/754,606.13 = 754,606.13/x
  3. Step 3: Cross multiply
    516,678.75x = 754,606.13 × 754,606.13
  4. Step 4: Simplify right side
    516,678.75x = 569,430,403,887.52
  5. Step 5: Solve for x
    x = 569,430,403,887.52/516,678.75
  6. Step 6: Final answer
    x = 1,102,097.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.