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Finding the Third Proportional to 363,378 and 741,492

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Solution

The third proportional to 363,378 and 741,492 is: 1,513,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,378 : 741,492 = 741,492 : x
  2. Step 2: Convert to fraction form
    363,378/741,492 = 741,492/x
  3. Step 3: Cross multiply
    363,378x = 741,492 × 741,492
  4. Step 4: Simplify right side
    363,378x = 549,810,386,064
  5. Step 5: Solve for x
    x = 549,810,386,064/363,378
  6. Step 6: Final answer
    x = 1,513,053.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.