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Finding the Third Proportional to 322,464 and 700,164

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Solution

The third proportional to 322,464 and 700,164 is: 1,520,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464 : 700,164 = 700,164 : x
  2. Step 2: Convert to fraction form
    322,464/700,164 = 700,164/x
  3. Step 3: Cross multiply
    322,464x = 700,164 × 700,164
  4. Step 4: Simplify right side
    322,464x = 490,229,626,896
  5. Step 5: Solve for x
    x = 490,229,626,896/322,464
  6. Step 6: Final answer
    x = 1,520,261.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.