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Finding the Third Proportional to 342,376 and 763,430

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Solution

The third proportional to 342,376 and 763,430 is: 1,702,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,376 : 763,430 = 763,430 : x
  2. Step 2: Convert to fraction form
    342,376/763,430 = 763,430/x
  3. Step 3: Cross multiply
    342,376x = 763,430 × 763,430
  4. Step 4: Simplify right side
    342,376x = 582,825,364,900
  5. Step 5: Solve for x
    x = 582,825,364,900/342,376
  6. Step 6: Final answer
    x = 1,702,296.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.