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Finding the Third Proportional to 282,636 and 424,560

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Solution

The third proportional to 282,636 and 424,560 is: 637,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,636 : 424,560 = 424,560 : x
  2. Step 2: Convert to fraction form
    282,636/424,560 = 424,560/x
  3. Step 3: Cross multiply
    282,636x = 424,560 × 424,560
  4. Step 4: Simplify right side
    282,636x = 180,251,193,600
  5. Step 5: Solve for x
    x = 180,251,193,600/282,636
  6. Step 6: Final answer
    x = 637,750.30

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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.