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Finding the Third Proportional to 349,503 and 749,982

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Solution

The third proportional to 349,503 and 749,982 is: 1,609,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,503 : 749,982 = 749,982 : x
  2. Step 2: Convert to fraction form
    349,503/749,982 = 749,982/x
  3. Step 3: Cross multiply
    349,503x = 749,982 × 749,982
  4. Step 4: Simplify right side
    349,503x = 562,473,000,324
  5. Step 5: Solve for x
    x = 562,473,000,324/349,503
  6. Step 6: Final answer
    x = 1,609,350.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.