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Finding the Third Proportional to 516,076 and 758,940

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Solution

The third proportional to 516,076 and 758,940 is: 1,116,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,076 : 758,940 = 758,940 : x
  2. Step 2: Convert to fraction form
    516,076/758,940 = 758,940/x
  3. Step 3: Cross multiply
    516,076x = 758,940 × 758,940
  4. Step 4: Simplify right side
    516,076x = 575,989,923,600
  5. Step 5: Solve for x
    x = 575,989,923,600/516,076
  6. Step 6: Final answer
    x = 1,116,095.16

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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.