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Finding the Third Proportional to 407,680 and 599,526

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Solution

The third proportional to 407,680 and 599,526 is: 881,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,680 : 599,526 = 599,526 : x
  2. Step 2: Convert to fraction form
    407,680/599,526 = 599,526/x
  3. Step 3: Cross multiply
    407,680x = 599,526 × 599,526
  4. Step 4: Simplify right side
    407,680x = 359,431,424,676
  5. Step 5: Solve for x
    x = 359,431,424,676/407,680
  6. Step 6: Final answer
    x = 881,650.87

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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.