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Finding the Third Proportional to 472,885.88 and 663,552.75

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Solution

The third proportional to 472,885.88 and 663,552.75 is: 931,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,885.88 : 663,552.75 = 663,552.75 : x
  2. Step 2: Convert to fraction form
    472,885.88/663,552.75 = 663,552.75/x
  3. Step 3: Cross multiply
    472,885.88x = 663,552.75 × 663,552.75
  4. Step 4: Simplify right side
    472,885.88x = 440,302,252,032.56
  5. Step 5: Solve for x
    x = 440,302,252,032.56/472,885.88
  6. Step 6: Final answer
    x = 931,096.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.