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Finding the Third Proportional to 404,142.75 and 606,214.13

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Solution

The third proportional to 404,142.75 and 606,214.13 is: 909,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,142.75 : 606,214.13 = 606,214.13 : x
  2. Step 2: Convert to fraction form
    404,142.75/606,214.13 = 606,214.13/x
  3. Step 3: Cross multiply
    404,142.75x = 606,214.13 × 606,214.13
  4. Step 4: Simplify right side
    404,142.75x = 367,495,565,349.52
  5. Step 5: Solve for x
    x = 367,495,565,349.52/404,142.75
  6. Step 6: Final answer
    x = 909,321.19

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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.