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Finding the Third Proportional to 516,696 and 754,629

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Solution

The third proportional to 516,696 and 754,629 is: 1,102,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,696 : 754,629 = 754,629 : x
  2. Step 2: Convert to fraction form
    516,696/754,629 = 754,629/x
  3. Step 3: Cross multiply
    516,696x = 754,629 × 754,629
  4. Step 4: Simplify right side
    516,696x = 569,464,927,641
  5. Step 5: Solve for x
    x = 569,464,927,641/516,696
  6. Step 6: Final answer
    x = 1,102,127.61

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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.