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Finding the Third Proportional to 320,263 and 700,718

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Solution

The third proportional to 320,263 and 700,718 is: 1,533,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,263 : 700,718 = 700,718 : x
  2. Step 2: Convert to fraction form
    320,263/700,718 = 700,718/x
  3. Step 3: Cross multiply
    320,263x = 700,718 × 700,718
  4. Step 4: Simplify right side
    320,263x = 491,005,715,524
  5. Step 5: Solve for x
    x = 491,005,715,524/320,263
  6. Step 6: Final answer
    x = 1,533,132.82

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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.