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Finding the Third Proportional to 454,840 and 706,238

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Solution

The third proportional to 454,840 and 706,238 is: 1,096,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,840 : 706,238 = 706,238 : x
  2. Step 2: Convert to fraction form
    454,840/706,238 = 706,238/x
  3. Step 3: Cross multiply
    454,840x = 706,238 × 706,238
  4. Step 4: Simplify right side
    454,840x = 498,772,112,644
  5. Step 5: Solve for x
    x = 498,772,112,644/454,840
  6. Step 6: Final answer
    x = 1,096,588.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.