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Finding the Third Proportional to 322,362 and 461,646

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Solution

The third proportional to 322,362 and 461,646 is: 661,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362 : 461,646 = 461,646 : x
  2. Step 2: Convert to fraction form
    322,362/461,646 = 461,646/x
  3. Step 3: Cross multiply
    322,362x = 461,646 × 461,646
  4. Step 4: Simplify right side
    322,362x = 213,117,029,316
  5. Step 5: Solve for x
    x = 213,117,029,316/322,362
  6. Step 6: Final answer
    x = 661,110.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.