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Finding the Third Proportional to 454,908 and 706,347

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Solution

The third proportional to 454,908 and 706,347 is: 1,096,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,908 : 706,347 = 706,347 : x
  2. Step 2: Convert to fraction form
    454,908/706,347 = 706,347/x
  3. Step 3: Cross multiply
    454,908x = 706,347 × 706,347
  4. Step 4: Simplify right side
    454,908x = 498,926,084,409
  5. Step 5: Solve for x
    x = 498,926,084,409/454,908
  6. Step 6: Final answer
    x = 1,096,762.61

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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.