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Finding the Third Proportional to 407,711 and 599,583

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Solution

The third proportional to 407,711 and 599,583 is: 881,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,711 : 599,583 = 599,583 : x
  2. Step 2: Convert to fraction form
    407,711/599,583 = 599,583/x
  3. Step 3: Cross multiply
    407,711x = 599,583 × 599,583
  4. Step 4: Simplify right side
    407,711x = 359,499,773,889
  5. Step 5: Solve for x
    x = 359,499,773,889/407,711
  6. Step 6: Final answer
    x = 881,751.47

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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.