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Finding the Third Proportional to 360,269 and 776,208

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Solution

The third proportional to 360,269 and 776,208 is: 1,672,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,269 : 776,208 = 776,208 : x
  2. Step 2: Convert to fraction form
    360,269/776,208 = 776,208/x
  3. Step 3: Cross multiply
    360,269x = 776,208 × 776,208
  4. Step 4: Simplify right side
    360,269x = 602,498,859,264
  5. Step 5: Solve for x
    x = 602,498,859,264/360,269
  6. Step 6: Final answer
    x = 1,672,358.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.