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Finding the Third Proportional to 464,871 and 717,811

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Solution

The third proportional to 464,871 and 717,811 is: 1,108,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,871 : 717,811 = 717,811 : x
  2. Step 2: Convert to fraction form
    464,871/717,811 = 717,811/x
  3. Step 3: Cross multiply
    464,871x = 717,811 × 717,811
  4. Step 4: Simplify right side
    464,871x = 515,252,631,721
  5. Step 5: Solve for x
    x = 515,252,631,721/464,871
  6. Step 6: Final answer
    x = 1,108,377.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.