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Finding the Third Proportional to 322,278 and 695,801

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Solution

The third proportional to 322,278 and 695,801 is: 1,502,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,278 : 695,801 = 695,801 : x
  2. Step 2: Convert to fraction form
    322,278/695,801 = 695,801/x
  3. Step 3: Cross multiply
    322,278x = 695,801 × 695,801
  4. Step 4: Simplify right side
    322,278x = 484,139,031,601
  5. Step 5: Solve for x
    x = 484,139,031,601/322,278
  6. Step 6: Final answer
    x = 1,502,240.40

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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.