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Finding the Third Proportional to 342,368 and 763,414

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Solution

The third proportional to 342,368 and 763,414 is: 1,702,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,368 : 763,414 = 763,414 : x
  2. Step 2: Convert to fraction form
    342,368/763,414 = 763,414/x
  3. Step 3: Cross multiply
    342,368x = 763,414 × 763,414
  4. Step 4: Simplify right side
    342,368x = 582,800,935,396
  5. Step 5: Solve for x
    x = 582,800,935,396/342,368
  6. Step 6: Final answer
    x = 1,702,264.63

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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.