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Finding the Third Proportional to 598,907 and 880,846

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Solution

The third proportional to 598,907 and 880,846 is: 1,295,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,907 : 880,846 = 880,846 : x
  2. Step 2: Convert to fraction form
    598,907/880,846 = 880,846/x
  3. Step 3: Cross multiply
    598,907x = 880,846 × 880,846
  4. Step 4: Simplify right side
    598,907x = 775,889,675,716
  5. Step 5: Solve for x
    x = 775,889,675,716/598,907
  6. Step 6: Final answer
    x = 1,295,509.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.