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Finding the Third Proportional to 284,786 and 606,382

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Solution

The third proportional to 284,786 and 606,382 is: 1,291,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,786 : 606,382 = 606,382 : x
  2. Step 2: Convert to fraction form
    284,786/606,382 = 606,382/x
  3. Step 3: Cross multiply
    284,786x = 606,382 × 606,382
  4. Step 4: Simplify right side
    284,786x = 367,699,129,924
  5. Step 5: Solve for x
    x = 367,699,129,924/284,786
  6. Step 6: Final answer
    x = 1,291,141.87

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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.