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Finding the Third Proportional to 284,228 and 607,842

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Solution

The third proportional to 284,228 and 607,842 is: 1,299,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,228 : 607,842 = 607,842 : x
  2. Step 2: Convert to fraction form
    284,228/607,842 = 607,842/x
  3. Step 3: Cross multiply
    284,228x = 607,842 × 607,842
  4. Step 4: Simplify right side
    284,228x = 369,471,896,964
  5. Step 5: Solve for x
    x = 369,471,896,964/284,228
  6. Step 6: Final answer
    x = 1,299,913.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.