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Finding the Third Proportional to 350,350.31 and 762,210

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Solution

The third proportional to 350,350.31 and 762,210 is: 1,658,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,350.31 : 762,210 = 762,210 : x
  2. Step 2: Convert to fraction form
    350,350.31/762,210 = 762,210/x
  3. Step 3: Cross multiply
    350,350.31x = 762,210 × 762,210
  4. Step 4: Simplify right side
    350,350.31x = 580,964,084,100
  5. Step 5: Solve for x
    x = 580,964,084,100/350,350.31
  6. Step 6: Final answer
    x = 1,658,237.66

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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.