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Finding the Third Proportional to 373,181 and 562,463

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Solution

The third proportional to 373,181 and 562,463 is: 847,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,181 : 562,463 = 562,463 : x
  2. Step 2: Convert to fraction form
    373,181/562,463 = 562,463/x
  3. Step 3: Cross multiply
    373,181x = 562,463 × 562,463
  4. Step 4: Simplify right side
    373,181x = 316,364,626,369
  5. Step 5: Solve for x
    x = 316,364,626,369/373,181
  6. Step 6: Final answer
    x = 847,751.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.