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Finding the Third Proportional to 350,686.50 and 766,995

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Solution

The third proportional to 350,686.50 and 766,995 is: 1,677,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,686.50 : 766,995 = 766,995 : x
  2. Step 2: Convert to fraction form
    350,686.50/766,995 = 766,995/x
  3. Step 3: Cross multiply
    350,686.50x = 766,995 × 766,995
  4. Step 4: Simplify right side
    350,686.50x = 588,281,330,025
  5. Step 5: Solve for x
    x = 588,281,330,025/350,686.50
  6. Step 6: Final answer
    x = 1,677,513.48

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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.