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Finding the Third Proportional to 282,252 and 432,372

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Solution

The third proportional to 282,252 and 432,372 is: 662,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,252 : 432,372 = 432,372 : x
  2. Step 2: Convert to fraction form
    282,252/432,372 = 432,372/x
  3. Step 3: Cross multiply
    282,252x = 432,372 × 432,372
  4. Step 4: Simplify right side
    282,252x = 186,945,546,384
  5. Step 5: Solve for x
    x = 186,945,546,384/282,252
  6. Step 6: Final answer
    x = 662,335.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.