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Finding the Third Proportional to 557,931.38 and 834,735.09

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Solution

The third proportional to 557,931.38 and 834,735.09 is: 1,248,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,931.38 : 834,735.09 = 834,735.09 : x
  2. Step 2: Convert to fraction form
    557,931.38/834,735.09 = 834,735.09/x
  3. Step 3: Cross multiply
    557,931.38x = 834,735.09 × 834,735.09
  4. Step 4: Simplify right side
    557,931.38x = 696,782,676,737.82
  5. Step 5: Solve for x
    x = 696,782,676,737.82/557,931.38
  6. Step 6: Final answer
    x = 1,248,868.07

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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.