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Finding the Third Proportional to 278,730 and 420,707

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Solution

The third proportional to 278,730 and 420,707 is: 635,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,730 : 420,707 = 420,707 : x
  2. Step 2: Convert to fraction form
    278,730/420,707 = 420,707/x
  3. Step 3: Cross multiply
    278,730x = 420,707 × 420,707
  4. Step 4: Simplify right side
    278,730x = 176,994,379,849
  5. Step 5: Solve for x
    x = 176,994,379,849/278,730
  6. Step 6: Final answer
    x = 635,002.98

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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.