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Finding the Third Proportional to 282,957 and 441,663

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Solution

The third proportional to 282,957 and 441,663 is: 689,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,957 : 441,663 = 441,663 : x
  2. Step 2: Convert to fraction form
    282,957/441,663 = 441,663/x
  3. Step 3: Cross multiply
    282,957x = 441,663 × 441,663
  4. Step 4: Simplify right side
    282,957x = 195,066,205,569
  5. Step 5: Solve for x
    x = 195,066,205,569/282,957
  6. Step 6: Final answer
    x = 689,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.