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Finding the Third Proportional to 464,510 and 717,908

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Solution

The third proportional to 464,510 and 717,908 is: 1,109,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,510 : 717,908 = 717,908 : x
  2. Step 2: Convert to fraction form
    464,510/717,908 = 717,908/x
  3. Step 3: Cross multiply
    464,510x = 717,908 × 717,908
  4. Step 4: Simplify right side
    464,510x = 515,391,896,464
  5. Step 5: Solve for x
    x = 515,391,896,464/464,510
  6. Step 6: Final answer
    x = 1,109,538.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.