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Finding the Third Proportional to 442,432.13 and 683,206.88

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Solution

The third proportional to 442,432.13 and 683,206.88 is: 1,055,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,432.13 : 683,206.88 = 683,206.88 : x
  2. Step 2: Convert to fraction form
    442,432.13/683,206.88 = 683,206.88/x
  3. Step 3: Cross multiply
    442,432.13x = 683,206.88 × 683,206.88
  4. Step 4: Simplify right side
    442,432.13x = 466,771,634,047.27
  5. Step 5: Solve for x
    x = 466,771,634,047.27/442,432.13
  6. Step 6: Final answer
    x = 1,055,012.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.