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Finding the Third Proportional to 322,294 and 695,834

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Solution

The third proportional to 322,294 and 695,834 is: 1,502,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,294 : 695,834 = 695,834 : x
  2. Step 2: Convert to fraction form
    322,294/695,834 = 695,834/x
  3. Step 3: Cross multiply
    322,294x = 695,834 × 695,834
  4. Step 4: Simplify right side
    322,294x = 484,184,955,556
  5. Step 5: Solve for x
    x = 484,184,955,556/322,294
  6. Step 6: Final answer
    x = 1,502,308.31

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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.