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Finding the Third Proportional to 249,601.50 and 538,569

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Solution

The third proportional to 249,601.50 and 538,569 is: 1,162,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,601.50 : 538,569 = 538,569 : x
  2. Step 2: Convert to fraction form
    249,601.50/538,569 = 538,569/x
  3. Step 3: Cross multiply
    249,601.50x = 538,569 × 538,569
  4. Step 4: Simplify right side
    249,601.50x = 290,056,567,761
  5. Step 5: Solve for x
    x = 290,056,567,761/249,601.50
  6. Step 6: Final answer
    x = 1,162,078.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.