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Finding the Third Proportional to 516,056 and 758,908

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Solution

The third proportional to 516,056 and 758,908 is: 1,116,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,056 : 758,908 = 758,908 : x
  2. Step 2: Convert to fraction form
    516,056/758,908 = 758,908/x
  3. Step 3: Cross multiply
    516,056x = 758,908 × 758,908
  4. Step 4: Simplify right side
    516,056x = 575,941,352,464
  5. Step 5: Solve for x
    x = 575,941,352,464/516,056
  6. Step 6: Final answer
    x = 1,116,044.29

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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.