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Finding the Third Proportional to 598,617 and 874,584

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Solution

The third proportional to 598,617 and 874,584 is: 1,277,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,617 : 874,584 = 874,584 : x
  2. Step 2: Convert to fraction form
    598,617/874,584 = 874,584/x
  3. Step 3: Cross multiply
    598,617x = 874,584 × 874,584
  4. Step 4: Simplify right side
    598,617x = 764,897,173,056
  5. Step 5: Solve for x
    x = 764,897,173,056/598,617
  6. Step 6: Final answer
    x = 1,277,773.89

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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.