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Finding the Third Proportional to 437,406 and 714,249

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Solution

The third proportional to 437,406 and 714,249 is: 1,166,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,406 : 714,249 = 714,249 : x
  2. Step 2: Convert to fraction form
    437,406/714,249 = 714,249/x
  3. Step 3: Cross multiply
    437,406x = 714,249 × 714,249
  4. Step 4: Simplify right side
    437,406x = 510,151,634,001
  5. Step 5: Solve for x
    x = 510,151,634,001/437,406
  6. Step 6: Final answer
    x = 1,166,311.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.