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Finding the Third Proportional to 367,205 and 801,802

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Solution

The third proportional to 367,205 and 801,802 is: 1,750,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,205 : 801,802 = 801,802 : x
  2. Step 2: Convert to fraction form
    367,205/801,802 = 801,802/x
  3. Step 3: Cross multiply
    367,205x = 801,802 × 801,802
  4. Step 4: Simplify right side
    367,205x = 642,886,447,204
  5. Step 5: Solve for x
    x = 642,886,447,204/367,205
  6. Step 6: Final answer
    x = 1,750,756.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.