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Finding the Third Proportional to 224,597 and 489,840

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Solution

The third proportional to 224,597 and 489,840 is: 1,068,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,597 : 489,840 = 489,840 : x
  2. Step 2: Convert to fraction form
    224,597/489,840 = 489,840/x
  3. Step 3: Cross multiply
    224,597x = 489,840 × 489,840
  4. Step 4: Simplify right side
    224,597x = 239,943,225,600
  5. Step 5: Solve for x
    x = 239,943,225,600/224,597
  6. Step 6: Final answer
    x = 1,068,327.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.