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Finding the Third Proportional to 411,716.25 and 594,607.50

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Solution

The third proportional to 411,716.25 and 594,607.50 is: 858,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,716.25 : 594,607.50 = 594,607.50 : x
  2. Step 2: Convert to fraction form
    411,716.25/594,607.50 = 594,607.50/x
  3. Step 3: Cross multiply
    411,716.25x = 594,607.50 × 594,607.50
  4. Step 4: Simplify right side
    411,716.25x = 353,558,079,056.25
  5. Step 5: Solve for x
    x = 353,558,079,056.25/411,716.25
  6. Step 6: Final answer
    x = 858,742.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.