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Finding the Third Proportional to 282,721.50 and 415,602

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Solution

The third proportional to 282,721.50 and 415,602 is: 610,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,721.50 : 415,602 = 415,602 : x
  2. Step 2: Convert to fraction form
    282,721.50/415,602 = 415,602/x
  3. Step 3: Cross multiply
    282,721.50x = 415,602 × 415,602
  4. Step 4: Simplify right side
    282,721.50x = 172,725,022,404
  5. Step 5: Solve for x
    x = 172,725,022,404/282,721.50
  6. Step 6: Final answer
    x = 610,936.99

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