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Finding the Third Proportional to 565,306.50 and 1,230,258.75

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Solution

The third proportional to 565,306.50 and 1,230,258.75 is: 2,677,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,306.50 : 1,230,258.75 = 1,230,258.75 : x
  2. Step 2: Convert to fraction form
    565,306.50/1,230,258.75 = 1,230,258.75/x
  3. Step 3: Cross multiply
    565,306.50x = 1,230,258.75 × 1,230,258.75
  4. Step 4: Simplify right side
    565,306.50x = 1,513,536,591,951.56
  5. Step 5: Solve for x
    x = 1,513,536,591,951.56/565,306.50
  6. Step 6: Final answer
    x = 2,677,373.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.