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Finding the Third Proportional to 222,479 and 460,730

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Solution

The third proportional to 222,479 and 460,730 is: 954,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,479 : 460,730 = 460,730 : x
  2. Step 2: Convert to fraction form
    222,479/460,730 = 460,730/x
  3. Step 3: Cross multiply
    222,479x = 460,730 × 460,730
  4. Step 4: Simplify right side
    222,479x = 212,272,132,900
  5. Step 5: Solve for x
    x = 212,272,132,900/222,479
  6. Step 6: Final answer
    x = 954,122.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.