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Finding the Third Proportional to 282,582 and 426,753

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Solution

The third proportional to 282,582 and 426,753 is: 644,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,582 : 426,753 = 426,753 : x
  2. Step 2: Convert to fraction form
    282,582/426,753 = 426,753/x
  3. Step 3: Cross multiply
    282,582x = 426,753 × 426,753
  4. Step 4: Simplify right side
    282,582x = 182,118,123,009
  5. Step 5: Solve for x
    x = 182,118,123,009/282,582
  6. Step 6: Final answer
    x = 644,478.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.