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Finding the Third Proportional to 516,098 and 758,967

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Solution

The third proportional to 516,098 and 758,967 is: 1,116,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,098 : 758,967 = 758,967 : x
  2. Step 2: Convert to fraction form
    516,098/758,967 = 758,967/x
  3. Step 3: Cross multiply
    516,098x = 758,967 × 758,967
  4. Step 4: Simplify right side
    516,098x = 576,030,907,089
  5. Step 5: Solve for x
    x = 576,030,907,089/516,098
  6. Step 6: Final answer
    x = 1,116,126.99

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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.