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Finding the Third Proportional to 472,698 and 688,734

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Solution

The third proportional to 472,698 and 688,734 is: 1,003,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,698 : 688,734 = 688,734 : x
  2. Step 2: Convert to fraction form
    472,698/688,734 = 688,734/x
  3. Step 3: Cross multiply
    472,698x = 688,734 × 688,734
  4. Step 4: Simplify right side
    472,698x = 474,354,522,756
  5. Step 5: Solve for x
    x = 474,354,522,756/472,698
  6. Step 6: Final answer
    x = 1,003,504.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.