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Finding the Third Proportional to 319,648.50 and 485,304

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Solution

The third proportional to 319,648.50 and 485,304 is: 736,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,648.50 : 485,304 = 485,304 : x
  2. Step 2: Convert to fraction form
    319,648.50/485,304 = 485,304/x
  3. Step 3: Cross multiply
    319,648.50x = 485,304 × 485,304
  4. Step 4: Simplify right side
    319,648.50x = 235,519,972,416
  5. Step 5: Solve for x
    x = 235,519,972,416/319,648.50
  6. Step 6: Final answer
    x = 736,809.25

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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.