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Finding the Third Proportional to 284,815 and 672,335

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Solution

The third proportional to 284,815 and 672,335 is: 1,587,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,815 : 672,335 = 672,335 : x
  2. Step 2: Convert to fraction form
    284,815/672,335 = 672,335/x
  3. Step 3: Cross multiply
    284,815x = 672,335 × 672,335
  4. Step 4: Simplify right side
    284,815x = 452,034,352,225
  5. Step 5: Solve for x
    x = 452,034,352,225/284,815
  6. Step 6: Final answer
    x = 1,587,115.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.