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Finding the Third Proportional to 357,811 and 484,218

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Solution

The third proportional to 357,811 and 484,218 is: 655,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,811 : 484,218 = 484,218 : x
  2. Step 2: Convert to fraction form
    357,811/484,218 = 484,218/x
  3. Step 3: Cross multiply
    357,811x = 484,218 × 484,218
  4. Step 4: Simplify right side
    357,811x = 234,467,071,524
  5. Step 5: Solve for x
    x = 234,467,071,524/357,811
  6. Step 6: Final answer
    x = 655,281.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.