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Finding the Third Proportional to 284,184 and 437,940

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Solution

The third proportional to 284,184 and 437,940 is: 674,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,184 : 437,940 = 437,940 : x
  2. Step 2: Convert to fraction form
    284,184/437,940 = 437,940/x
  3. Step 3: Cross multiply
    284,184x = 437,940 × 437,940
  4. Step 4: Simplify right side
    284,184x = 191,791,443,600
  5. Step 5: Solve for x
    x = 191,791,443,600/284,184
  6. Step 6: Final answer
    x = 674,884.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.