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Finding the Third Proportional to 282,436 and 415,006

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Solution

The third proportional to 282,436 and 415,006 is: 609,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,436 : 415,006 = 415,006 : x
  2. Step 2: Convert to fraction form
    282,436/415,006 = 415,006/x
  3. Step 3: Cross multiply
    282,436x = 415,006 × 415,006
  4. Step 4: Simplify right side
    282,436x = 172,229,980,036
  5. Step 5: Solve for x
    x = 172,229,980,036/282,436
  6. Step 6: Final answer
    x = 609,801.80

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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.