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Finding the Third Proportional to 282,721.50 and 614,529

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Solution

The third proportional to 282,721.50 and 614,529 is: 1,335,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,721.50 : 614,529 = 614,529 : x
  2. Step 2: Convert to fraction form
    282,721.50/614,529 = 614,529/x
  3. Step 3: Cross multiply
    282,721.50x = 614,529 × 614,529
  4. Step 4: Simplify right side
    282,721.50x = 377,645,891,841
  5. Step 5: Solve for x
    x = 377,645,891,841/282,721.50
  6. Step 6: Final answer
    x = 1,335,752.29

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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.