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Finding the Third Proportional to 404,716 and 613,124

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Solution

The third proportional to 404,716 and 613,124 is: 928,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,716 : 613,124 = 613,124 : x
  2. Step 2: Convert to fraction form
    404,716/613,124 = 613,124/x
  3. Step 3: Cross multiply
    404,716x = 613,124 × 613,124
  4. Step 4: Simplify right side
    404,716x = 375,921,039,376
  5. Step 5: Solve for x
    x = 375,921,039,376/404,716
  6. Step 6: Final answer
    x = 928,851.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.