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Finding the Third Proportional to 219,488 and 321,432

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Solution

The third proportional to 219,488 and 321,432 is: 470,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,488 : 321,432 = 321,432 : x
  2. Step 2: Convert to fraction form
    219,488/321,432 = 321,432/x
  3. Step 3: Cross multiply
    219,488x = 321,432 × 321,432
  4. Step 4: Simplify right side
    219,488x = 103,318,530,624
  5. Step 5: Solve for x
    x = 103,318,530,624/219,488
  6. Step 6: Final answer
    x = 470,725.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.