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Finding the Third Proportional to 345,058 and 731,588

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Solution

The third proportional to 345,058 and 731,588 is: 1,551,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,058 : 731,588 = 731,588 : x
  2. Step 2: Convert to fraction form
    345,058/731,588 = 731,588/x
  3. Step 3: Cross multiply
    345,058x = 731,588 × 731,588
  4. Step 4: Simplify right side
    345,058x = 535,221,001,744
  5. Step 5: Solve for x
    x = 535,221,001,744/345,058
  6. Step 6: Final answer
    x = 1,551,104.46

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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.