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Finding the Third Proportional to 374,376 and 611,253

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Solution

The third proportional to 374,376 and 611,253 is: 998,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,376 : 611,253 = 611,253 : x
  2. Step 2: Convert to fraction form
    374,376/611,253 = 611,253/x
  3. Step 3: Cross multiply
    374,376x = 611,253 × 611,253
  4. Step 4: Simplify right side
    374,376x = 373,630,230,009
  5. Step 5: Solve for x
    x = 373,630,230,009/374,376
  6. Step 6: Final answer
    x = 998,007.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.