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Finding the Third Proportional to 674,123.63 and 948,202.38

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Solution

The third proportional to 674,123.63 and 948,202.38 is: 1,333,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,123.63 : 948,202.38 = 948,202.38 : x
  2. Step 2: Convert to fraction form
    674,123.63/948,202.38 = 948,202.38/x
  3. Step 3: Cross multiply
    674,123.63x = 948,202.38 × 948,202.38
  4. Step 4: Simplify right side
    674,123.63x = 899,087,743,955.64
  5. Step 5: Solve for x
    x = 899,087,743,955.64/674,123.63
  6. Step 6: Final answer
    x = 1,333,713.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.