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Finding the Third Proportional to 315,331 and 489,579

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Solution

The third proportional to 315,331 and 489,579 is: 760,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,331 : 489,579 = 489,579 : x
  2. Step 2: Convert to fraction form
    315,331/489,579 = 489,579/x
  3. Step 3: Cross multiply
    315,331x = 489,579 × 489,579
  4. Step 4: Simplify right side
    315,331x = 239,687,597,241
  5. Step 5: Solve for x
    x = 239,687,597,241/315,331
  6. Step 6: Final answer
    x = 760,114.28

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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.