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Finding the Third Proportional to 674,304.75 and 948,530.25

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Solution

The third proportional to 674,304.75 and 948,530.25 is: 1,334,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,304.75 : 948,530.25 = 948,530.25 : x
  2. Step 2: Convert to fraction form
    674,304.75/948,530.25 = 948,530.25/x
  3. Step 3: Cross multiply
    674,304.75x = 948,530.25 × 948,530.25
  4. Step 4: Simplify right side
    674,304.75x = 899,709,635,165.06
  5. Step 5: Solve for x
    x = 899,709,635,165.06/674,304.75
  6. Step 6: Final answer
    x = 1,334,277.47

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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.