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Finding the Third Proportional to 282,534 and 426,681

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Solution

The third proportional to 282,534 and 426,681 is: 644,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,534 : 426,681 = 426,681 : x
  2. Step 2: Convert to fraction form
    282,534/426,681 = 426,681/x
  3. Step 3: Cross multiply
    282,534x = 426,681 × 426,681
  4. Step 4: Simplify right side
    282,534x = 182,056,675,761
  5. Step 5: Solve for x
    x = 182,056,675,761/282,534
  6. Step 6: Final answer
    x = 644,370.86

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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.