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Finding the Third Proportional to 350,709 and 749,289

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Solution

The third proportional to 350,709 and 749,289 is: 1,600,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,709 : 749,289 = 749,289 : x
  2. Step 2: Convert to fraction form
    350,709/749,289 = 749,289/x
  3. Step 3: Cross multiply
    350,709x = 749,289 × 749,289
  4. Step 4: Simplify right side
    350,709x = 561,434,005,521
  5. Step 5: Solve for x
    x = 561,434,005,521/350,709
  6. Step 6: Final answer
    x = 1,600,854.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.