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Finding the Third Proportional to 282,732 and 415,614

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Solution

The third proportional to 282,732 and 415,614 is: 610,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,732 : 415,614 = 415,614 : x
  2. Step 2: Convert to fraction form
    282,732/415,614 = 415,614/x
  3. Step 3: Cross multiply
    282,732x = 415,614 × 415,614
  4. Step 4: Simplify right side
    282,732x = 172,734,996,996
  5. Step 5: Solve for x
    x = 172,734,996,996/282,732
  6. Step 6: Final answer
    x = 610,949.58

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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.