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Finding the Third Proportional to 404,716.50 and 607,110.75

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Solution

The third proportional to 404,716.50 and 607,110.75 is: 910,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,716.50 : 607,110.75 = 607,110.75 : x
  2. Step 2: Convert to fraction form
    404,716.50/607,110.75 = 607,110.75/x
  3. Step 3: Cross multiply
    404,716.50x = 607,110.75 × 607,110.75
  4. Step 4: Simplify right side
    404,716.50x = 368,583,462,765.56
  5. Step 5: Solve for x
    x = 368,583,462,765.56/404,716.50
  6. Step 6: Final answer
    x = 910,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.