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Finding the Third Proportional to 320,960 and 448,708

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Solution

The third proportional to 320,960 and 448,708 is: 627,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,960 : 448,708 = 448,708 : x
  2. Step 2: Convert to fraction form
    320,960/448,708 = 448,708/x
  3. Step 3: Cross multiply
    320,960x = 448,708 × 448,708
  4. Step 4: Simplify right side
    320,960x = 201,338,869,264
  5. Step 5: Solve for x
    x = 201,338,869,264/320,960
  6. Step 6: Final answer
    x = 627,302.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.