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Finding the Third Proportional to 284,600 and 604,246

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Solution

The third proportional to 284,600 and 604,246 is: 1,282,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,600 : 604,246 = 604,246 : x
  2. Step 2: Convert to fraction form
    284,600/604,246 = 604,246/x
  3. Step 3: Cross multiply
    284,600x = 604,246 × 604,246
  4. Step 4: Simplify right side
    284,600x = 365,113,228,516
  5. Step 5: Solve for x
    x = 365,113,228,516/284,600
  6. Step 6: Final answer
    x = 1,282,899.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.