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Finding the Third Proportional to 281,082.38 and 400,597.31

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Solution

The third proportional to 281,082.38 and 400,597.31 is: 570,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,082.38 : 400,597.31 = 400,597.31 : x
  2. Step 2: Convert to fraction form
    281,082.38/400,597.31 = 400,597.31/x
  3. Step 3: Cross multiply
    281,082.38x = 400,597.31 × 400,597.31
  4. Step 4: Simplify right side
    281,082.38x = 160,478,206,782.22
  5. Step 5: Solve for x
    x = 160,478,206,782.22/281,082.38
  6. Step 6: Final answer
    x = 570,929.45

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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.