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Finding the Third Proportional to 350,656.88 and 766,922.63

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Solution

The third proportional to 350,656.88 and 766,922.63 is: 1,677,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,656.88 : 766,922.63 = 766,922.63 : x
  2. Step 2: Convert to fraction form
    350,656.88/766,922.63 = 766,922.63/x
  3. Step 3: Cross multiply
    350,656.88x = 766,922.63 × 766,922.63
  4. Step 4: Simplify right side
    350,656.88x = 588,170,312,736.89
  5. Step 5: Solve for x
    x = 588,170,312,736.89/350,656.88
  6. Step 6: Final answer
    x = 1,677,338.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.