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Finding the Third Proportional to 374,366 and 611,238

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Solution

The third proportional to 374,366 and 611,238 is: 997,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,366 : 611,238 = 611,238 : x
  2. Step 2: Convert to fraction form
    374,366/611,238 = 611,238/x
  3. Step 3: Cross multiply
    374,366x = 611,238 × 611,238
  4. Step 4: Simplify right side
    374,366x = 373,611,892,644
  5. Step 5: Solve for x
    x = 373,611,892,644/374,366
  6. Step 6: Final answer
    x = 997,985.64

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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.