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Finding the Third Proportional to 322,564 and 512,444

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Solution

The third proportional to 322,564 and 512,444 is: 814,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,564 : 512,444 = 512,444 : x
  2. Step 2: Convert to fraction form
    322,564/512,444 = 512,444/x
  3. Step 3: Cross multiply
    322,564x = 512,444 × 512,444
  4. Step 4: Simplify right side
    322,564x = 262,598,853,136
  5. Step 5: Solve for x
    x = 262,598,853,136/322,564
  6. Step 6: Final answer
    x = 814,098.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.