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Finding the Third Proportional to 227,585 and 469,871

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Solution

The third proportional to 227,585 and 469,871 is: 970,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,585 : 469,871 = 469,871 : x
  2. Step 2: Convert to fraction form
    227,585/469,871 = 469,871/x
  3. Step 3: Cross multiply
    227,585x = 469,871 × 469,871
  4. Step 4: Simplify right side
    227,585x = 220,778,756,641
  5. Step 5: Solve for x
    x = 220,778,756,641/227,585
  6. Step 6: Final answer
    x = 970,093.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.