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Finding the Third Proportional to 365,472 and 880,464

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Solution

The third proportional to 365,472 and 880,464 is: 2,121,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,472 : 880,464 = 880,464 : x
  2. Step 2: Convert to fraction form
    365,472/880,464 = 880,464/x
  3. Step 3: Cross multiply
    365,472x = 880,464 × 880,464
  4. Step 4: Simplify right side
    365,472x = 775,216,855,296
  5. Step 5: Solve for x
    x = 775,216,855,296/365,472
  6. Step 6: Final answer
    x = 2,121,138.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.