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Finding the Third Proportional to 315,666 and 693,540

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Solution

The third proportional to 315,666 and 693,540 is: 1,523,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,666 : 693,540 = 693,540 : x
  2. Step 2: Convert to fraction form
    315,666/693,540 = 693,540/x
  3. Step 3: Cross multiply
    315,666x = 693,540 × 693,540
  4. Step 4: Simplify right side
    315,666x = 480,997,731,600
  5. Step 5: Solve for x
    x = 480,997,731,600/315,666
  6. Step 6: Final answer
    x = 1,523,755.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.