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Finding the Third Proportional to 365,564 and 801,754

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Solution

The third proportional to 365,564 and 801,754 is: 1,758,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,564 : 801,754 = 801,754 : x
  2. Step 2: Convert to fraction form
    365,564/801,754 = 801,754/x
  3. Step 3: Cross multiply
    365,564x = 801,754 × 801,754
  4. Step 4: Simplify right side
    365,564x = 642,809,476,516
  5. Step 5: Solve for x
    x = 642,809,476,516/365,564
  6. Step 6: Final answer
    x = 1,758,404.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.