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Finding the Third Proportional to 319,632.75 and 485,281.13

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Solution

The third proportional to 319,632.75 and 485,281.13 is: 736,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,632.75 : 485,281.13 = 485,281.13 : x
  2. Step 2: Convert to fraction form
    319,632.75/485,281.13 = 485,281.13/x
  3. Step 3: Cross multiply
    319,632.75x = 485,281.13 × 485,281.13
  4. Step 4: Simplify right side
    319,632.75x = 235,497,770,281.27
  5. Step 5: Solve for x
    x = 235,497,770,281.27/319,632.75
  6. Step 6: Final answer
    x = 736,776.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.