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Finding the Third Proportional to 414,380,477.11 and 621,418,557.80

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Solution

The third proportional to 414,380,477.11 and 621,418,557.80 is: 931,899,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,380,477.11 : 621,418,557.80 = 621,418,557.80 : x
  2. Step 2: Convert to fraction form
    414,380,477.11/621,418,557.80 = 621,418,557.80/x
  3. Step 3: Cross multiply
    414,380,477.11x = 621,418,557.80 × 621,418,557.80
  4. Step 4: Simplify right side
    414,380,477.11x = 386,161,023,974,354,304
  5. Step 5: Solve for x
    x = 386,161,023,974,354,304/414,380,477.11
  6. Step 6: Final answer
    x = 931,899,655.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.