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Finding the Third Proportional to 249,091.50 and 515,910.75

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Solution

The third proportional to 249,091.50 and 515,910.75 is: 1,068,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,091.50 : 515,910.75 = 515,910.75 : x
  2. Step 2: Convert to fraction form
    249,091.50/515,910.75 = 515,910.75/x
  3. Step 3: Cross multiply
    249,091.50x = 515,910.75 × 515,910.75
  4. Step 4: Simplify right side
    249,091.50x = 266,163,901,965.56
  5. Step 5: Solve for x
    x = 266,163,901,965.56/249,091.50
  6. Step 6: Final answer
    x = 1,068,538.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.