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Finding the Third Proportional to 315,549 and 688,932

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Solution

The third proportional to 315,549 and 688,932 is: 1,504,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,549 : 688,932 = 688,932 : x
  2. Step 2: Convert to fraction form
    315,549/688,932 = 688,932/x
  3. Step 3: Cross multiply
    315,549x = 688,932 × 688,932
  4. Step 4: Simplify right side
    315,549x = 474,627,300,624
  5. Step 5: Solve for x
    x = 474,627,300,624/315,549
  6. Step 6: Final answer
    x = 1,504,131.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.