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Finding the Third Proportional to 340,480.13 and 526,869.56

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Solution

The third proportional to 340,480.13 and 526,869.56 is: 815,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,480.13 : 526,869.56 = 526,869.56 : x
  2. Step 2: Convert to fraction form
    340,480.13/526,869.56 = 526,869.56/x
  3. Step 3: Cross multiply
    340,480.13x = 526,869.56 × 526,869.56
  4. Step 4: Simplify right side
    340,480.13x = 277,591,535,888.94
  5. Step 5: Solve for x
    x = 277,591,535,888.94/340,480.13
  6. Step 6: Final answer
    x = 815,294.39

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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.