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Finding the Third Proportional to 278,731,304 and 433,334,028

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Solution

The third proportional to 278,731,304 and 433,334,028 is: 673,689,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,731,304 : 433,334,028 = 433,334,028 : x
  2. Step 2: Convert to fraction form
    278,731,304/433,334,028 = 433,334,028/x
  3. Step 3: Cross multiply
    278,731,304x = 433,334,028 × 433,334,028
  4. Step 4: Simplify right side
    278,731,304x = 187,778,379,822,704,768
  5. Step 5: Solve for x
    x = 187,778,379,822,704,768/278,731,304
  6. Step 6: Final answer
    x = 673,689,596.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.