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Finding the Third Proportional to 407,850 and 599,737

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Solution

The third proportional to 407,850 and 599,737 is: 881,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850 : 599,737 = 599,737 : x
  2. Step 2: Convert to fraction form
    407,850/599,737 = 599,737/x
  3. Step 3: Cross multiply
    407,850x = 599,737 × 599,737
  4. Step 4: Simplify right side
    407,850x = 359,684,469,169
  5. Step 5: Solve for x
    x = 359,684,469,169/407,850
  6. Step 6: Final answer
    x = 881,903.81

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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.