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Finding the Third Proportional to 454,905 and 706,335.75

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Solution

The third proportional to 454,905 and 706,335.75 is: 1,096,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,905 : 706,335.75 = 706,335.75 : x
  2. Step 2: Convert to fraction form
    454,905/706,335.75 = 706,335.75/x
  3. Step 3: Cross multiply
    454,905x = 706,335.75 × 706,335.75
  4. Step 4: Simplify right side
    454,905x = 498,910,191,728.06
  5. Step 5: Solve for x
    x = 498,910,191,728.06/454,905
  6. Step 6: Final answer
    x = 1,096,734.90

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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.