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Finding the Third Proportional to 364,376 and 800,492

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Solution

The third proportional to 364,376 and 800,492 is: 1,758,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,376 : 800,492 = 800,492 : x
  2. Step 2: Convert to fraction form
    364,376/800,492 = 800,492/x
  3. Step 3: Cross multiply
    364,376x = 800,492 × 800,492
  4. Step 4: Simplify right side
    364,376x = 640,787,442,064
  5. Step 5: Solve for x
    x = 640,787,442,064/364,376
  6. Step 6: Final answer
    x = 1,758,588.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.