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Finding the Third Proportional to 332,533 and 688,713

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Solution

The third proportional to 332,533 and 688,713 is: 1,426,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,533 : 688,713 = 688,713 : x
  2. Step 2: Convert to fraction form
    332,533/688,713 = 688,713/x
  3. Step 3: Cross multiply
    332,533x = 688,713 × 688,713
  4. Step 4: Simplify right side
    332,533x = 474,325,596,369
  5. Step 5: Solve for x
    x = 474,325,596,369/332,533
  6. Step 6: Final answer
    x = 1,426,401.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.