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Finding the Third Proportional to 349,058 and 560,031

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Solution

The third proportional to 349,058 and 560,031 is: 898,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,058 : 560,031 = 560,031 : x
  2. Step 2: Convert to fraction form
    349,058/560,031 = 560,031/x
  3. Step 3: Cross multiply
    349,058x = 560,031 × 560,031
  4. Step 4: Simplify right side
    349,058x = 313,634,720,961
  5. Step 5: Solve for x
    x = 313,634,720,961/349,058
  6. Step 6: Final answer
    x = 898,517.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.