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Finding the Third Proportional to 231,776 and 488,461

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Solution

The third proportional to 231,776 and 488,461 is: 1,029,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,776 : 488,461 = 488,461 : x
  2. Step 2: Convert to fraction form
    231,776/488,461 = 488,461/x
  3. Step 3: Cross multiply
    231,776x = 488,461 × 488,461
  4. Step 4: Simplify right side
    231,776x = 238,594,148,521
  5. Step 5: Solve for x
    x = 238,594,148,521/231,776
  6. Step 6: Final answer
    x = 1,029,416.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.