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Finding the Third Proportional to 598,409 and 874,468

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Solution

The third proportional to 598,409 and 874,468 is: 1,277,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,409 : 874,468 = 874,468 : x
  2. Step 2: Convert to fraction form
    598,409/874,468 = 874,468/x
  3. Step 3: Cross multiply
    598,409x = 874,468 × 874,468
  4. Step 4: Simplify right side
    598,409x = 764,694,283,024
  5. Step 5: Solve for x
    x = 764,694,283,024/598,409
  6. Step 6: Final answer
    x = 1,277,878.98

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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.