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Finding the Third Proportional to 518,632 and 758,076

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Solution

The third proportional to 518,632 and 758,076 is: 1,108,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,632 : 758,076 = 758,076 : x
  2. Step 2: Convert to fraction form
    518,632/758,076 = 758,076/x
  3. Step 3: Cross multiply
    518,632x = 758,076 × 758,076
  4. Step 4: Simplify right side
    518,632x = 574,679,221,776
  5. Step 5: Solve for x
    x = 574,679,221,776/518,632
  6. Step 6: Final answer
    x = 1,108,067.42

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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.