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Finding the Third Proportional to 382,631.50 and 834,157

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Solution

The third proportional to 382,631.50 and 834,157 is: 1,818,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,631.50 : 834,157 = 834,157 : x
  2. Step 2: Convert to fraction form
    382,631.50/834,157 = 834,157/x
  3. Step 3: Cross multiply
    382,631.50x = 834,157 × 834,157
  4. Step 4: Simplify right side
    382,631.50x = 695,817,900,649
  5. Step 5: Solve for x
    x = 695,817,900,649/382,631.50
  6. Step 6: Final answer
    x = 1,818,506.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.