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Finding the Third Proportional to 454,761 and 706,117.50

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Solution

The third proportional to 454,761 and 706,117.50 is: 1,096,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,761 : 706,117.50 = 706,117.50 : x
  2. Step 2: Convert to fraction form
    454,761/706,117.50 = 706,117.50/x
  3. Step 3: Cross multiply
    454,761x = 706,117.50 × 706,117.50
  4. Step 4: Simplify right side
    454,761x = 498,601,923,806.25
  5. Step 5: Solve for x
    x = 498,601,923,806.25/454,761
  6. Step 6: Final answer
    x = 1,096,404.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.