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Finding the Third Proportional to 598,557 and 839,883

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Solution

The third proportional to 598,557 and 839,883 is: 1,178,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,557 : 839,883 = 839,883 : x
  2. Step 2: Convert to fraction form
    598,557/839,883 = 839,883/x
  3. Step 3: Cross multiply
    598,557x = 839,883 × 839,883
  4. Step 4: Simplify right side
    598,557x = 705,403,453,689
  5. Step 5: Solve for x
    x = 705,403,453,689/598,557
  6. Step 6: Final answer
    x = 1,178,506.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.