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Finding the Third Proportional to 249,909.75 and 544,189.50

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Solution

The third proportional to 249,909.75 and 544,189.50 is: 1,184,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,909.75 : 544,189.50 = 544,189.50 : x
  2. Step 2: Convert to fraction form
    249,909.75/544,189.50 = 544,189.50/x
  3. Step 3: Cross multiply
    249,909.75x = 544,189.50 × 544,189.50
  4. Step 4: Simplify right side
    249,909.75x = 296,142,211,910.25
  5. Step 5: Solve for x
    x = 296,142,211,910.25/249,909.75
  6. Step 6: Final answer
    x = 1,184,996.63

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Why These Related Problems?

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