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Finding the Third Proportional to 481,557 and 715,401

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Solution

The third proportional to 481,557 and 715,401 is: 1,062,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,557 : 715,401 = 715,401 : x
  2. Step 2: Convert to fraction form
    481,557/715,401 = 715,401/x
  3. Step 3: Cross multiply
    481,557x = 715,401 × 715,401
  4. Step 4: Simplify right side
    481,557x = 511,798,590,801
  5. Step 5: Solve for x
    x = 511,798,590,801/481,557
  6. Step 6: Final answer
    x = 1,062,799.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.