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Finding the Third Proportional to 454,914 and 706,351.50

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Solution

The third proportional to 454,914 and 706,351.50 is: 1,096,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,914 : 706,351.50 = 706,351.50 : x
  2. Step 2: Convert to fraction form
    454,914/706,351.50 = 706,351.50/x
  3. Step 3: Cross multiply
    454,914x = 706,351.50 × 706,351.50
  4. Step 4: Simplify right side
    454,914x = 498,932,441,552.25
  5. Step 5: Solve for x
    x = 498,932,441,552.25/454,914
  6. Step 6: Final answer
    x = 1,096,762.12

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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.