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Finding the Third Proportional to 337,176 and 726,624

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Solution

The third proportional to 337,176 and 726,624 is: 1,565,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,176 : 726,624 = 726,624 : x
  2. Step 2: Convert to fraction form
    337,176/726,624 = 726,624/x
  3. Step 3: Cross multiply
    337,176x = 726,624 × 726,624
  4. Step 4: Simplify right side
    337,176x = 527,982,437,376
  5. Step 5: Solve for x
    x = 527,982,437,376/337,176
  6. Step 6: Final answer
    x = 1,565,895.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.