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Finding the Third Proportional to 319,290.61 and 480,281.91

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Solution

The third proportional to 319,290.61 and 480,281.91 is: 722,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,290.61 : 480,281.91 = 480,281.91 : x
  2. Step 2: Convert to fraction form
    319,290.61/480,281.91 = 480,281.91/x
  3. Step 3: Cross multiply
    319,290.61x = 480,281.91 × 480,281.91
  4. Step 4: Simplify right side
    319,290.61x = 230,670,709,471.13
  5. Step 5: Solve for x
    x = 230,670,709,471.13/319,290.61
  6. Step 6: Final answer
    x = 722,447.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.