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Finding the Third Proportional to 483,416 and 679,548

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Solution

The third proportional to 483,416 and 679,548 is: 955,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,416 : 679,548 = 679,548 : x
  2. Step 2: Convert to fraction form
    483,416/679,548 = 679,548/x
  3. Step 3: Cross multiply
    483,416x = 679,548 × 679,548
  4. Step 4: Simplify right side
    483,416x = 461,785,484,304
  5. Step 5: Solve for x
    x = 461,785,484,304/483,416
  6. Step 6: Final answer
    x = 955,254.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.