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Finding the Third Proportional to 349,728 and 749,073

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Solution

The third proportional to 349,728 and 749,073 is: 1,604,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,728 : 749,073 = 749,073 : x
  2. Step 2: Convert to fraction form
    349,728/749,073 = 749,073/x
  3. Step 3: Cross multiply
    349,728x = 749,073 × 749,073
  4. Step 4: Simplify right side
    349,728x = 561,110,359,329
  5. Step 5: Solve for x
    x = 561,110,359,329/349,728
  6. Step 6: Final answer
    x = 1,604,419.32

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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.