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Finding the Third Proportional to 282,432 and 415,000

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Solution

The third proportional to 282,432 and 415,000 is: 609,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,432 : 415,000 = 415,000 : x
  2. Step 2: Convert to fraction form
    282,432/415,000 = 415,000/x
  3. Step 3: Cross multiply
    282,432x = 415,000 × 415,000
  4. Step 4: Simplify right side
    282,432x = 172,225,000,000
  5. Step 5: Solve for x
    x = 172,225,000,000/282,432
  6. Step 6: Final answer
    x = 609,792.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.