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Finding the Third Proportional to 282,912 and 424,380

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Solution

The third proportional to 282,912 and 424,380 is: 636,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,912 : 424,380 = 424,380 : x
  2. Step 2: Convert to fraction form
    282,912/424,380 = 424,380/x
  3. Step 3: Cross multiply
    282,912x = 424,380 × 424,380
  4. Step 4: Simplify right side
    282,912x = 180,098,384,400
  5. Step 5: Solve for x
    x = 180,098,384,400/282,912
  6. Step 6: Final answer
    x = 636,588.00

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Why These Related Problems?

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