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Finding the Third Proportional to 367,264 and 778,619

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Solution

The third proportional to 367,264 and 778,619 is: 1,650,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,264 : 778,619 = 778,619 : x
  2. Step 2: Convert to fraction form
    367,264/778,619 = 778,619/x
  3. Step 3: Cross multiply
    367,264x = 778,619 × 778,619
  4. Step 4: Simplify right side
    367,264x = 606,247,547,161
  5. Step 5: Solve for x
    x = 606,247,547,161/367,264
  6. Step 6: Final answer
    x = 1,650,713.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.