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Finding the Third Proportional to 454,906 and 706,344

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Solution

The third proportional to 454,906 and 706,344 is: 1,096,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,906 : 706,344 = 706,344 : x
  2. Step 2: Convert to fraction form
    454,906/706,344 = 706,344/x
  3. Step 3: Cross multiply
    454,906x = 706,344 × 706,344
  4. Step 4: Simplify right side
    454,906x = 498,921,846,336
  5. Step 5: Solve for x
    x = 498,921,846,336/454,906
  6. Step 6: Final answer
    x = 1,096,758.11

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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.