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Finding the Third Proportional to 477,548 and 722,469

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Solution

The third proportional to 477,548 and 722,469 is: 1,093,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,548 : 722,469 = 722,469 : x
  2. Step 2: Convert to fraction form
    477,548/722,469 = 722,469/x
  3. Step 3: Cross multiply
    477,548x = 722,469 × 722,469
  4. Step 4: Simplify right side
    477,548x = 521,961,455,961
  5. Step 5: Solve for x
    x = 521,961,455,961/477,548
  6. Step 6: Final answer
    x = 1,093,003.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.