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Finding the Third Proportional to 320,436 and 693,468

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Solution

The third proportional to 320,436 and 693,468 is: 1,500,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,436 : 693,468 = 693,468 : x
  2. Step 2: Convert to fraction form
    320,436/693,468 = 693,468/x
  3. Step 3: Cross multiply
    320,436x = 693,468 × 693,468
  4. Step 4: Simplify right side
    320,436x = 480,897,867,024
  5. Step 5: Solve for x
    x = 480,897,867,024/320,436
  6. Step 6: Final answer
    x = 1,500,761.05

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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.