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Finding the Third Proportional to 344,567 and 730,048

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Solution

The third proportional to 344,567 and 730,048 is: 1,546,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,567 : 730,048 = 730,048 : x
  2. Step 2: Convert to fraction form
    344,567/730,048 = 730,048/x
  3. Step 3: Cross multiply
    344,567x = 730,048 × 730,048
  4. Step 4: Simplify right side
    344,567x = 532,970,082,304
  5. Step 5: Solve for x
    x = 532,970,082,304/344,567
  6. Step 6: Final answer
    x = 1,546,782.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.