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Finding the Third Proportional to 407,598 and 598,869

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Solution

The third proportional to 407,598 and 598,869 is: 879,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,598 : 598,869 = 598,869 : x
  2. Step 2: Convert to fraction form
    407,598/598,869 = 598,869/x
  3. Step 3: Cross multiply
    407,598x = 598,869 × 598,869
  4. Step 4: Simplify right side
    407,598x = 358,644,079,161
  5. Step 5: Solve for x
    x = 358,644,079,161/407,598
  6. Step 6: Final answer
    x = 879,896.56

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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.