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Finding the Third Proportional to 284,511 and 474,118.50

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Solution

The third proportional to 284,511 and 474,118.50 is: 790,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,511 : 474,118.50 = 474,118.50 : x
  2. Step 2: Convert to fraction form
    284,511/474,118.50 = 474,118.50/x
  3. Step 3: Cross multiply
    284,511x = 474,118.50 × 474,118.50
  4. Step 4: Simplify right side
    284,511x = 224,788,352,042.25
  5. Step 5: Solve for x
    x = 224,788,352,042.25/284,511
  6. Step 6: Final answer
    x = 790,086.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.