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Finding the Third Proportional to 224,624 and 490,702

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Solution

The third proportional to 224,624 and 490,702 is: 1,071,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,624 : 490,702 = 490,702 : x
  2. Step 2: Convert to fraction form
    224,624/490,702 = 490,702/x
  3. Step 3: Cross multiply
    224,624x = 490,702 × 490,702
  4. Step 4: Simplify right side
    224,624x = 240,788,452,804
  5. Step 5: Solve for x
    x = 240,788,452,804/224,624
  6. Step 6: Final answer
    x = 1,071,962.27

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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.