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Finding the Third Proportional to 376,482 and 734,046

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Solution

The third proportional to 376,482 and 734,046 is: 1,431,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,482 : 734,046 = 734,046 : x
  2. Step 2: Convert to fraction form
    376,482/734,046 = 734,046/x
  3. Step 3: Cross multiply
    376,482x = 734,046 × 734,046
  4. Step 4: Simplify right side
    376,482x = 538,823,530,116
  5. Step 5: Solve for x
    x = 538,823,530,116/376,482
  6. Step 6: Final answer
    x = 1,431,206.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.