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Finding the Third Proportional to 343,664 and 746,368

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Solution

The third proportional to 343,664 and 746,368 is: 1,620,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,664 : 746,368 = 746,368 : x
  2. Step 2: Convert to fraction form
    343,664/746,368 = 746,368/x
  3. Step 3: Cross multiply
    343,664x = 746,368 × 746,368
  4. Step 4: Simplify right side
    343,664x = 557,065,191,424
  5. Step 5: Solve for x
    x = 557,065,191,424/343,664
  6. Step 6: Final answer
    x = 1,620,958.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.