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Finding the Third Proportional to 350,351 and 766,129

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Solution

The third proportional to 350,351 and 766,129 is: 1,675,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,351 : 766,129 = 766,129 : x
  2. Step 2: Convert to fraction form
    350,351/766,129 = 766,129/x
  3. Step 3: Cross multiply
    350,351x = 766,129 × 766,129
  4. Step 4: Simplify right side
    350,351x = 586,953,644,641
  5. Step 5: Solve for x
    x = 586,953,644,641/350,351
  6. Step 6: Final answer
    x = 1,675,330.30

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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.