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Finding the Third Proportional to 462,850 and 699,215

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Solution

The third proportional to 462,850 and 699,215 is: 1,056,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,850 : 699,215 = 699,215 : x
  2. Step 2: Convert to fraction form
    462,850/699,215 = 699,215/x
  3. Step 3: Cross multiply
    462,850x = 699,215 × 699,215
  4. Step 4: Simplify right side
    462,850x = 488,901,616,225
  5. Step 5: Solve for x
    x = 488,901,616,225/462,850
  6. Step 6: Final answer
    x = 1,056,285.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.