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Finding the Third Proportional to 284,814 and 606,438

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Solution

The third proportional to 284,814 and 606,438 is: 1,291,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,814 : 606,438 = 606,438 : x
  2. Step 2: Convert to fraction form
    284,814/606,438 = 606,438/x
  3. Step 3: Cross multiply
    284,814x = 606,438 × 606,438
  4. Step 4: Simplify right side
    284,814x = 367,767,047,844
  5. Step 5: Solve for x
    x = 367,767,047,844/284,814
  6. Step 6: Final answer
    x = 1,291,253.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.