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Finding the Third Proportional to 249,261 and 543,634.50

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Solution

The third proportional to 249,261 and 543,634.50 is: 1,185,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,261 : 543,634.50 = 543,634.50 : x
  2. Step 2: Convert to fraction form
    249,261/543,634.50 = 543,634.50/x
  3. Step 3: Cross multiply
    249,261x = 543,634.50 × 543,634.50
  4. Step 4: Simplify right side
    249,261x = 295,538,469,590.25
  5. Step 5: Solve for x
    x = 295,538,469,590.25/249,261
  6. Step 6: Final answer
    x = 1,185,658.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.