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Finding the Third Proportional to 349,740 and 749,098

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Solution

The third proportional to 349,740 and 749,098 is: 1,604,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740 : 749,098 = 749,098 : x
  2. Step 2: Convert to fraction form
    349,740/749,098 = 749,098/x
  3. Step 3: Cross multiply
    349,740x = 749,098 × 749,098
  4. Step 4: Simplify right side
    349,740x = 561,147,813,604
  5. Step 5: Solve for x
    x = 561,147,813,604/349,740
  6. Step 6: Final answer
    x = 1,604,471.36

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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.