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Finding the Third Proportional to 485,001.84 and 734,211.84

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Solution

The third proportional to 485,001.84 and 734,211.84 is: 1,111,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,001.84 : 734,211.84 = 734,211.84 : x
  2. Step 2: Convert to fraction form
    485,001.84/734,211.84 = 734,211.84/x
  3. Step 3: Cross multiply
    485,001.84x = 734,211.84 × 734,211.84
  4. Step 4: Simplify right side
    485,001.84x = 539,067,031,502.77
  5. Step 5: Solve for x
    x = 539,067,031,502.77/485,001.84
  6. Step 6: Final answer
    x = 1,111,474.19

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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.