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Finding the Third Proportional to 516,664.50 and 759,687

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Solution

The third proportional to 516,664.50 and 759,687 is: 1,117,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,664.50 : 759,687 = 759,687 : x
  2. Step 2: Convert to fraction form
    516,664.50/759,687 = 759,687/x
  3. Step 3: Cross multiply
    516,664.50x = 759,687 × 759,687
  4. Step 4: Simplify right side
    516,664.50x = 577,124,337,969
  5. Step 5: Solve for x
    x = 577,124,337,969/516,664.50
  6. Step 6: Final answer
    x = 1,117,019.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.