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Finding the Third Proportional to 373,183 and 562,466

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Solution

The third proportional to 373,183 and 562,466 is: 847,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,183 : 562,466 = 562,466 : x
  2. Step 2: Convert to fraction form
    373,183/562,466 = 562,466/x
  3. Step 3: Cross multiply
    373,183x = 562,466 × 562,466
  4. Step 4: Simplify right side
    373,183x = 316,368,001,156
  5. Step 5: Solve for x
    x = 316,368,001,156/373,183
  6. Step 6: Final answer
    x = 847,755.66

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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.