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Finding the Third Proportional to 360,802 and 778,808

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Solution

The third proportional to 360,802 and 778,808 is: 1,681,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,802 : 778,808 = 778,808 : x
  2. Step 2: Convert to fraction form
    360,802/778,808 = 778,808/x
  3. Step 3: Cross multiply
    360,802x = 778,808 × 778,808
  4. Step 4: Simplify right side
    360,802x = 606,541,900,864
  5. Step 5: Solve for x
    x = 606,541,900,864/360,802
  6. Step 6: Final answer
    x = 1,681,093.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.