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Finding the Third Proportional to 598,434 and 874,506

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Solution

The third proportional to 598,434 and 874,506 is: 1,277,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,434 : 874,506 = 874,506 : x
  2. Step 2: Convert to fraction form
    598,434/874,506 = 874,506/x
  3. Step 3: Cross multiply
    598,434x = 874,506 × 874,506
  4. Step 4: Simplify right side
    598,434x = 764,760,744,036
  5. Step 5: Solve for x
    x = 764,760,744,036/598,434
  6. Step 6: Final answer
    x = 1,277,936.65

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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.