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Finding the Third Proportional to 349,716 and 749,048

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Solution

The third proportional to 349,716 and 749,048 is: 1,604,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,716 : 749,048 = 749,048 : x
  2. Step 2: Convert to fraction form
    349,716/749,048 = 749,048/x
  3. Step 3: Cross multiply
    349,716x = 749,048 × 749,048
  4. Step 4: Simplify right side
    349,716x = 561,072,906,304
  5. Step 5: Solve for x
    x = 561,072,906,304/349,716
  6. Step 6: Final answer
    x = 1,604,367.28

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