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Finding the Third Proportional to 260,011.13 and 399,478.50

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Solution

The third proportional to 260,011.13 and 399,478.50 is: 613,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,011.13 : 399,478.50 = 399,478.50 : x
  2. Step 2: Convert to fraction form
    260,011.13/399,478.50 = 399,478.50/x
  3. Step 3: Cross multiply
    260,011.13x = 399,478.50 × 399,478.50
  4. Step 4: Simplify right side
    260,011.13x = 159,583,071,962.25
  5. Step 5: Solve for x
    x = 159,583,071,962.25/260,011.13
  6. Step 6: Final answer
    x = 613,754.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.