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Finding the Third Proportional to 445,476 and 690,846

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Solution

The third proportional to 445,476 and 690,846 is: 1,071,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,476 : 690,846 = 690,846 : x
  2. Step 2: Convert to fraction form
    445,476/690,846 = 690,846/x
  3. Step 3: Cross multiply
    445,476x = 690,846 × 690,846
  4. Step 4: Simplify right side
    445,476x = 477,268,195,716
  5. Step 5: Solve for x
    x = 477,268,195,716/445,476
  6. Step 6: Final answer
    x = 1,071,366.80

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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.