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Finding the Third Proportional to 332,526 and 688,701

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Solution

The third proportional to 332,526 and 688,701 is: 1,426,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,526 : 688,701 = 688,701 : x
  2. Step 2: Convert to fraction form
    332,526/688,701 = 688,701/x
  3. Step 3: Cross multiply
    332,526x = 688,701 × 688,701
  4. Step 4: Simplify right side
    332,526x = 474,309,067,401
  5. Step 5: Solve for x
    x = 474,309,067,401/332,526
  6. Step 6: Final answer
    x = 1,426,381.90

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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.