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Finding the Third Proportional to 249,729.75 and 541,876.50

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Solution

The third proportional to 249,729.75 and 541,876.50 is: 1,175,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,729.75 : 541,876.50 = 541,876.50 : x
  2. Step 2: Convert to fraction form
    249,729.75/541,876.50 = 541,876.50/x
  3. Step 3: Cross multiply
    249,729.75x = 541,876.50 × 541,876.50
  4. Step 4: Simplify right side
    249,729.75x = 293,630,141,252.25
  5. Step 5: Solve for x
    x = 293,630,141,252.25/249,729.75
  6. Step 6: Final answer
    x = 1,175,791.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.