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Finding the Third Proportional to 224,682 and 488,730

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Solution

The third proportional to 224,682 and 488,730 is: 1,063,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,682 : 488,730 = 488,730 : x
  2. Step 2: Convert to fraction form
    224,682/488,730 = 488,730/x
  3. Step 3: Cross multiply
    224,682x = 488,730 × 488,730
  4. Step 4: Simplify right side
    224,682x = 238,857,012,900
  5. Step 5: Solve for x
    x = 238,857,012,900/224,682
  6. Step 6: Final answer
    x = 1,063,089.22

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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.