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Finding the Third Proportional to 771,208.50 and 1,721,265

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Solution

The third proportional to 771,208.50 and 1,721,265 is: 3,841,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,208.50 : 1,721,265 = 1,721,265 : x
  2. Step 2: Convert to fraction form
    771,208.50/1,721,265 = 1,721,265/x
  3. Step 3: Cross multiply
    771,208.50x = 1,721,265 × 1,721,265
  4. Step 4: Simplify right side
    771,208.50x = 2,962,753,200,225
  5. Step 5: Solve for x
    x = 2,962,753,200,225/771,208.50
  6. Step 6: Final answer
    x = 3,841,701.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.