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Finding the Third Proportional to 454,732 and 706,087

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Solution

The third proportional to 454,732 and 706,087 is: 1,096,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,732 : 706,087 = 706,087 : x
  2. Step 2: Convert to fraction form
    454,732/706,087 = 706,087/x
  3. Step 3: Cross multiply
    454,732x = 706,087 × 706,087
  4. Step 4: Simplify right side
    454,732x = 498,558,851,569
  5. Step 5: Solve for x
    x = 498,558,851,569/454,732
  6. Step 6: Final answer
    x = 1,096,379.52

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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.