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Finding the Third Proportional to 357,816 and 501,474

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Solution

The third proportional to 357,816 and 501,474 is: 702,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,816 : 501,474 = 501,474 : x
  2. Step 2: Convert to fraction form
    357,816/501,474 = 501,474/x
  3. Step 3: Cross multiply
    357,816x = 501,474 × 501,474
  4. Step 4: Simplify right side
    357,816x = 251,476,172,676
  5. Step 5: Solve for x
    x = 251,476,172,676/357,816
  6. Step 6: Final answer
    x = 702,808.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.