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Finding the Third Proportional to 216,432 and 469,830

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Solution

The third proportional to 216,432 and 469,830 is: 1,019,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,432 : 469,830 = 469,830 : x
  2. Step 2: Convert to fraction form
    216,432/469,830 = 469,830/x
  3. Step 3: Cross multiply
    216,432x = 469,830 × 469,830
  4. Step 4: Simplify right side
    216,432x = 220,740,228,900
  5. Step 5: Solve for x
    x = 220,740,228,900/216,432
  6. Step 6: Final answer
    x = 1,019,905.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.