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Finding the Third Proportional to 353,197.13 and 504,417.38

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Solution

The third proportional to 353,197.13 and 504,417.38 is: 720,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,197.13 : 504,417.38 = 504,417.38 : x
  2. Step 2: Convert to fraction form
    353,197.13/504,417.38 = 504,417.38/x
  3. Step 3: Cross multiply
    353,197.13x = 504,417.38 × 504,417.38
  4. Step 4: Simplify right side
    353,197.13x = 254,436,888,201.89
  5. Step 5: Solve for x
    x = 254,436,888,201.89/353,197.13
  6. Step 6: Final answer
    x = 720,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.