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Finding the Third Proportional to 412,849.13 and 683,275.50

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Solution

The third proportional to 412,849.13 and 683,275.50 is: 1,130,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,849.13 : 683,275.50 = 683,275.50 : x
  2. Step 2: Convert to fraction form
    412,849.13/683,275.50 = 683,275.50/x
  3. Step 3: Cross multiply
    412,849.13x = 683,275.50 × 683,275.50
  4. Step 4: Simplify right side
    412,849.13x = 466,865,408,900.25
  5. Step 5: Solve for x
    x = 466,865,408,900.25/412,849.13
  6. Step 6: Final answer
    x = 1,130,837.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.