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Finding the Third Proportional to 249,537 and 541,112.50

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Solution

The third proportional to 249,537 and 541,112.50 is: 1,173,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,537 : 541,112.50 = 541,112.50 : x
  2. Step 2: Convert to fraction form
    249,537/541,112.50 = 541,112.50/x
  3. Step 3: Cross multiply
    249,537x = 541,112.50 × 541,112.50
  4. Step 4: Simplify right side
    249,537x = 292,802,737,656.25
  5. Step 5: Solve for x
    x = 292,802,737,656.25/249,537
  6. Step 6: Final answer
    x = 1,173,384.06

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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.