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Finding the Third Proportional to 444,232 and 706,532

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Solution

The third proportional to 444,232 and 706,532 is: 1,123,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,232 : 706,532 = 706,532 : x
  2. Step 2: Convert to fraction form
    444,232/706,532 = 706,532/x
  3. Step 3: Cross multiply
    444,232x = 706,532 × 706,532
  4. Step 4: Simplify right side
    444,232x = 499,187,467,024
  5. Step 5: Solve for x
    x = 499,187,467,024/444,232
  6. Step 6: Final answer
    x = 1,123,708.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.