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Finding the Third Proportional to 363,332 and 796,648

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Solution

The third proportional to 363,332 and 796,648 is: 1,746,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,332 : 796,648 = 796,648 : x
  2. Step 2: Convert to fraction form
    363,332/796,648 = 796,648/x
  3. Step 3: Cross multiply
    363,332x = 796,648 × 796,648
  4. Step 4: Simplify right side
    363,332x = 634,648,035,904
  5. Step 5: Solve for x
    x = 634,648,035,904/363,332
  6. Step 6: Final answer
    x = 1,746,744.12

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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.