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Finding the Third Proportional to 459,067.50 and 645,322.50

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Solution

The third proportional to 459,067.50 and 645,322.50 is: 907,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,067.50 : 645,322.50 = 645,322.50 : x
  2. Step 2: Convert to fraction form
    459,067.50/645,322.50 = 645,322.50/x
  3. Step 3: Cross multiply
    459,067.50x = 645,322.50 × 645,322.50
  4. Step 4: Simplify right side
    459,067.50x = 416,441,129,006.25
  5. Step 5: Solve for x
    x = 416,441,129,006.25/459,067.50
  6. Step 6: Final answer
    x = 907,145.74

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Why These Related Problems?

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