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Finding the Third Proportional to 459,081 and 645,342.75

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Solution

The third proportional to 459,081 and 645,342.75 is: 907,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,081 : 645,342.75 = 645,342.75 : x
  2. Step 2: Convert to fraction form
    459,081/645,342.75 = 645,342.75/x
  3. Step 3: Cross multiply
    459,081x = 645,342.75 × 645,342.75
  4. Step 4: Simplify right side
    459,081x = 416,467,264,977.56
  5. Step 5: Solve for x
    x = 416,467,264,977.56/459,081
  6. Step 6: Final answer
    x = 907,176.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.