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Finding the Third Proportional to 615,377.25 and 931,267.13

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Solution

The third proportional to 615,377.25 and 931,267.13 is: 1,409,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,377.25 : 931,267.13 = 931,267.13 : x
  2. Step 2: Convert to fraction form
    615,377.25/931,267.13 = 931,267.13/x
  3. Step 3: Cross multiply
    615,377.25x = 931,267.13 × 931,267.13
  4. Step 4: Simplify right side
    615,377.25x = 867,258,458,105.77
  5. Step 5: Solve for x
    x = 867,258,458,105.77/615,377.25
  6. Step 6: Final answer
    x = 1,409,311.86

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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.