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Finding the Third Proportional to 788,731.50 and 1,715,656

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Solution

The third proportional to 788,731.50 and 1,715,656 is: 3,731,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,731.50 : 1,715,656 = 1,715,656 : x
  2. Step 2: Convert to fraction form
    788,731.50/1,715,656 = 1,715,656/x
  3. Step 3: Cross multiply
    788,731.50x = 1,715,656 × 1,715,656
  4. Step 4: Simplify right side
    788,731.50x = 2,943,475,510,336
  5. Step 5: Solve for x
    x = 2,943,475,510,336/788,731.50
  6. Step 6: Final answer
    x = 3,731,910.68

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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.