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Finding the Third Proportional to 278,577 and 424,396

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Solution

The third proportional to 278,577 and 424,396 is: 646,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,577 : 424,396 = 424,396 : x
  2. Step 2: Convert to fraction form
    278,577/424,396 = 424,396/x
  3. Step 3: Cross multiply
    278,577x = 424,396 × 424,396
  4. Step 4: Simplify right side
    278,577x = 180,111,964,816
  5. Step 5: Solve for x
    x = 180,111,964,816/278,577
  6. Step 6: Final answer
    x = 646,542.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.