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Finding the Third Proportional to 282,369 and 424,186

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Solution

The third proportional to 282,369 and 424,186 is: 637,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369 : 424,186 = 424,186 : x
  2. Step 2: Convert to fraction form
    282,369/424,186 = 424,186/x
  3. Step 3: Cross multiply
    282,369x = 424,186 × 424,186
  4. Step 4: Simplify right side
    282,369x = 179,933,762,596
  5. Step 5: Solve for x
    x = 179,933,762,596/282,369
  6. Step 6: Final answer
    x = 637,229.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.