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Finding the Third Proportional to 598,422 and 874,488

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Solution

The third proportional to 598,422 and 874,488 is: 1,277,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,422 : 874,488 = 874,488 : x
  2. Step 2: Convert to fraction form
    598,422/874,488 = 874,488/x
  3. Step 3: Cross multiply
    598,422x = 874,488 × 874,488
  4. Step 4: Simplify right side
    598,422x = 764,729,262,144
  5. Step 5: Solve for x
    x = 764,729,262,144/598,422
  6. Step 6: Final answer
    x = 1,277,909.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.