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Finding the Third Proportional to 473,195 and 734,754

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Solution

The third proportional to 473,195 and 734,754 is: 1,140,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,195 : 734,754 = 734,754 : x
  2. Step 2: Convert to fraction form
    473,195/734,754 = 734,754/x
  3. Step 3: Cross multiply
    473,195x = 734,754 × 734,754
  4. Step 4: Simplify right side
    473,195x = 539,863,440,516
  5. Step 5: Solve for x
    x = 539,863,440,516/473,195
  6. Step 6: Final answer
    x = 1,140,889.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.