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Finding the Third Proportional to 454,833 and 706,234.50

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Solution

The third proportional to 454,833 and 706,234.50 is: 1,096,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,833 : 706,234.50 = 706,234.50 : x
  2. Step 2: Convert to fraction form
    454,833/706,234.50 = 706,234.50/x
  3. Step 3: Cross multiply
    454,833x = 706,234.50 × 706,234.50
  4. Step 4: Simplify right side
    454,833x = 498,767,168,990.25
  5. Step 5: Solve for x
    x = 498,767,168,990.25/454,833
  6. Step 6: Final answer
    x = 1,096,594.07

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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.