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Finding the Third Proportional to 349,967 and 749,503

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Solution

The third proportional to 349,967 and 749,503 is: 1,605,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,967 : 749,503 = 749,503 : x
  2. Step 2: Convert to fraction form
    349,967/749,503 = 749,503/x
  3. Step 3: Cross multiply
    349,967x = 749,503 × 749,503
  4. Step 4: Simplify right side
    349,967x = 561,754,747,009
  5. Step 5: Solve for x
    x = 561,754,747,009/349,967
  6. Step 6: Final answer
    x = 1,605,164.91

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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.