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Finding the Third Proportional to 320,284 and 741,378

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Solution

The third proportional to 320,284 and 741,378 is: 1,716,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,284 : 741,378 = 741,378 : x
  2. Step 2: Convert to fraction form
    320,284/741,378 = 741,378/x
  3. Step 3: Cross multiply
    320,284x = 741,378 × 741,378
  4. Step 4: Simplify right side
    320,284x = 549,641,338,884
  5. Step 5: Solve for x
    x = 549,641,338,884/320,284
  6. Step 6: Final answer
    x = 1,716,106.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.