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Finding the Third Proportional to 350,674 and 766,957

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Solution

The third proportional to 350,674 and 766,957 is: 1,677,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,674 : 766,957 = 766,957 : x
  2. Step 2: Convert to fraction form
    350,674/766,957 = 766,957/x
  3. Step 3: Cross multiply
    350,674x = 766,957 × 766,957
  4. Step 4: Simplify right side
    350,674x = 588,223,039,849
  5. Step 5: Solve for x
    x = 588,223,039,849/350,674
  6. Step 6: Final answer
    x = 1,677,407.05

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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.