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Finding the Third Proportional to 243,488 and 493,672

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Solution

The third proportional to 243,488 and 493,672 is: 1,000,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,488 : 493,672 = 493,672 : x
  2. Step 2: Convert to fraction form
    243,488/493,672 = 493,672/x
  3. Step 3: Cross multiply
    243,488x = 493,672 × 493,672
  4. Step 4: Simplify right side
    243,488x = 243,712,043,584
  5. Step 5: Solve for x
    x = 243,712,043,584/243,488
  6. Step 6: Final answer
    x = 1,000,920.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.