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Finding the Third Proportional to 351,113.25 and 530,359.31

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Solution

The third proportional to 351,113.25 and 530,359.31 is: 801,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,113.25 : 530,359.31 = 530,359.31 : x
  2. Step 2: Convert to fraction form
    351,113.25/530,359.31 = 530,359.31/x
  3. Step 3: Cross multiply
    351,113.25x = 530,359.31 × 530,359.31
  4. Step 4: Simplify right side
    351,113.25x = 281,281,000,355.47
  5. Step 5: Solve for x
    x = 281,281,000,355.47/351,113.25
  6. Step 6: Final answer
    x = 801,111.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.