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Finding the Third Proportional to 376,320 and 813,312

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Solution

The third proportional to 376,320 and 813,312 is: 1,757,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,320 : 813,312 = 813,312 : x
  2. Step 2: Convert to fraction form
    376,320/813,312 = 813,312/x
  3. Step 3: Cross multiply
    376,320x = 813,312 × 813,312
  4. Step 4: Simplify right side
    376,320x = 661,476,409,344
  5. Step 5: Solve for x
    x = 661,476,409,344/376,320
  6. Step 6: Final answer
    x = 1,757,749.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.