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Finding the Third Proportional to 349,058 and 512,497

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Solution

The third proportional to 349,058 and 512,497 is: 752,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,058 : 512,497 = 512,497 : x
  2. Step 2: Convert to fraction form
    349,058/512,497 = 512,497/x
  3. Step 3: Cross multiply
    349,058x = 512,497 × 512,497
  4. Step 4: Simplify right side
    349,058x = 262,653,175,009
  5. Step 5: Solve for x
    x = 262,653,175,009/349,058
  6. Step 6: Final answer
    x = 752,462.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.