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Finding the Third Proportional to 249,539.50 and 541,116.50

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Solution

The third proportional to 249,539.50 and 541,116.50 is: 1,173,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,539.50 : 541,116.50 = 541,116.50 : x
  2. Step 2: Convert to fraction form
    249,539.50/541,116.50 = 541,116.50/x
  3. Step 3: Cross multiply
    249,539.50x = 541,116.50 × 541,116.50
  4. Step 4: Simplify right side
    249,539.50x = 292,807,066,572.25
  5. Step 5: Solve for x
    x = 292,807,066,572.25/249,539.50
  6. Step 6: Final answer
    x = 1,173,389.65

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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.