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Finding the Third Proportional to 361,854.84 and 530,691.75

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Solution

The third proportional to 361,854.84 and 530,691.75 is: 778,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,854.84 : 530,691.75 = 530,691.75 : x
  2. Step 2: Convert to fraction form
    361,854.84/530,691.75 = 530,691.75/x
  3. Step 3: Cross multiply
    361,854.84x = 530,691.75 × 530,691.75
  4. Step 4: Simplify right side
    361,854.84x = 281,633,733,518.06
  5. Step 5: Solve for x
    x = 281,633,733,518.06/361,854.84
  6. Step 6: Final answer
    x = 778,305.83

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