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Finding the Third Proportional to 323,264 and 706,720

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Solution

The third proportional to 323,264 and 706,720 is: 1,545,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,264 : 706,720 = 706,720 : x
  2. Step 2: Convert to fraction form
    323,264/706,720 = 706,720/x
  3. Step 3: Cross multiply
    323,264x = 706,720 × 706,720
  4. Step 4: Simplify right side
    323,264x = 499,453,158,400
  5. Step 5: Solve for x
    x = 499,453,158,400/323,264
  6. Step 6: Final answer
    x = 1,545,031.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.