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Finding the Third Proportional to 345,588 and 718,758

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Solution

The third proportional to 345,588 and 718,758 is: 1,494,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,588 : 718,758 = 718,758 : x
  2. Step 2: Convert to fraction form
    345,588/718,758 = 718,758/x
  3. Step 3: Cross multiply
    345,588x = 718,758 × 718,758
  4. Step 4: Simplify right side
    345,588x = 516,613,062,564
  5. Step 5: Solve for x
    x = 516,613,062,564/345,588
  6. Step 6: Final answer
    x = 1,494,881.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.