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Finding the Third Proportional to 350,841 and 738,359

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Solution

The third proportional to 350,841 and 738,359 is: 1,553,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,841 : 738,359 = 738,359 : x
  2. Step 2: Convert to fraction form
    350,841/738,359 = 738,359/x
  3. Step 3: Cross multiply
    350,841x = 738,359 × 738,359
  4. Step 4: Simplify right side
    350,841x = 545,174,012,881
  5. Step 5: Solve for x
    x = 545,174,012,881/350,841
  6. Step 6: Final answer
    x = 1,553,906.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.