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Finding the Third Proportional to 349,952 and 772,096

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Solution

The third proportional to 349,952 and 772,096 is: 1,703,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,952 : 772,096 = 772,096 : x
  2. Step 2: Convert to fraction form
    349,952/772,096 = 772,096/x
  3. Step 3: Cross multiply
    349,952x = 772,096 × 772,096
  4. Step 4: Simplify right side
    349,952x = 596,132,233,216
  5. Step 5: Solve for x
    x = 596,132,233,216/349,952
  6. Step 6: Final answer
    x = 1,703,468.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.