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Finding the Third Proportional to 341,842.78 and 497,772.84

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Solution

The third proportional to 341,842.78 and 497,772.84 is: 724,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,842.78 : 497,772.84 = 497,772.84 : x
  2. Step 2: Convert to fraction form
    341,842.78/497,772.84 = 497,772.84/x
  3. Step 3: Cross multiply
    341,842.78x = 497,772.84 × 497,772.84
  4. Step 4: Simplify right side
    341,842.78x = 247,777,803,974.96
  5. Step 5: Solve for x
    x = 247,777,803,974.96/341,842.78
  6. Step 6: Final answer
    x = 724,829.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.