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Finding the Third Proportional to 309,935.25 and 474,082.88

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Solution

The third proportional to 309,935.25 and 474,082.88 is: 725,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,935.25 : 474,082.88 = 474,082.88 : x
  2. Step 2: Convert to fraction form
    309,935.25/474,082.88 = 474,082.88/x
  3. Step 3: Cross multiply
    309,935.25x = 474,082.88 × 474,082.88
  4. Step 4: Simplify right side
    309,935.25x = 224,754,572,368.27
  5. Step 5: Solve for x
    x = 224,754,572,368.27/309,935.25
  6. Step 6: Final answer
    x = 725,166.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.