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Finding the Third Proportional to 322,302 and 695,850

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Solution

The third proportional to 322,302 and 695,850 is: 1,502,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,302 : 695,850 = 695,850 : x
  2. Step 2: Convert to fraction form
    322,302/695,850 = 695,850/x
  3. Step 3: Cross multiply
    322,302x = 695,850 × 695,850
  4. Step 4: Simplify right side
    322,302x = 484,207,222,500
  5. Step 5: Solve for x
    x = 484,207,222,500/322,302
  6. Step 6: Final answer
    x = 1,502,340.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.