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Finding the Third Proportional to 249,543 and 541,123.50

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Solution

The third proportional to 249,543 and 541,123.50 is: 1,173,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,543 : 541,123.50 = 541,123.50 : x
  2. Step 2: Convert to fraction form
    249,543/541,123.50 = 541,123.50/x
  3. Step 3: Cross multiply
    249,543x = 541,123.50 × 541,123.50
  4. Step 4: Simplify right side
    249,543x = 292,814,642,252.25
  5. Step 5: Solve for x
    x = 292,814,642,252.25/249,543
  6. Step 6: Final answer
    x = 1,173,403.55

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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.