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Finding the Third Proportional to 285,390.84 and 451,567.41

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Solution

The third proportional to 285,390.84 and 451,567.41 is: 714,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,390.84 : 451,567.41 = 451,567.41 : x
  2. Step 2: Convert to fraction form
    285,390.84/451,567.41 = 451,567.41/x
  3. Step 3: Cross multiply
    285,390.84x = 451,567.41 × 451,567.41
  4. Step 4: Simplify right side
    285,390.84x = 203,913,122,387.35
  5. Step 5: Solve for x
    x = 203,913,122,387.35/285,390.84
  6. Step 6: Final answer
    x = 714,504.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.