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Finding the Third Proportional to 486,251.44 and 713,600.72

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Solution

The third proportional to 486,251.44 and 713,600.72 is: 1,047,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,251.44 : 713,600.72 = 713,600.72 : x
  2. Step 2: Convert to fraction form
    486,251.44/713,600.72 = 713,600.72/x
  3. Step 3: Cross multiply
    486,251.44x = 713,600.72 × 713,600.72
  4. Step 4: Simplify right side
    486,251.44x = 509,225,985,800.52
  5. Step 5: Solve for x
    x = 509,225,985,800.52/486,251.44
  6. Step 6: Final answer
    x = 1,047,248.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.