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Finding the Third Proportional to 342,956 and 752,312

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Solution

The third proportional to 342,956 and 752,312 is: 1,650,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,956 : 752,312 = 752,312 : x
  2. Step 2: Convert to fraction form
    342,956/752,312 = 752,312/x
  3. Step 3: Cross multiply
    342,956x = 752,312 × 752,312
  4. Step 4: Simplify right side
    342,956x = 565,973,345,344
  5. Step 5: Solve for x
    x = 565,973,345,344/342,956
  6. Step 6: Final answer
    x = 1,650,279.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.