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Finding the Third Proportional to 602,005.50 and 1,288,082.25

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Solution

The third proportional to 602,005.50 and 1,288,082.25 is: 2,756,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,005.50 : 1,288,082.25 = 1,288,082.25 : x
  2. Step 2: Convert to fraction form
    602,005.50/1,288,082.25 = 1,288,082.25/x
  3. Step 3: Cross multiply
    602,005.50x = 1,288,082.25 × 1,288,082.25
  4. Step 4: Simplify right side
    602,005.50x = 1,659,155,882,765.06
  5. Step 5: Solve for x
    x = 1,659,155,882,765.06/602,005.50
  6. Step 6: Final answer
    x = 2,756,047.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.