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Finding the Third Proportional to 473,760 and 625,968

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Solution

The third proportional to 473,760 and 625,968 is: 827,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760 : 625,968 = 625,968 : x
  2. Step 2: Convert to fraction form
    473,760/625,968 = 625,968/x
  3. Step 3: Cross multiply
    473,760x = 625,968 × 625,968
  4. Step 4: Simplify right side
    473,760x = 391,835,937,024
  5. Step 5: Solve for x
    x = 391,835,937,024/473,760
  6. Step 6: Final answer
    x = 827,076.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.