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Finding the Third Proportional to 407,666 and 599,506

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Solution

The third proportional to 407,666 and 599,506 is: 881,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,666 : 599,506 = 599,506 : x
  2. Step 2: Convert to fraction form
    407,666/599,506 = 599,506/x
  3. Step 3: Cross multiply
    407,666x = 599,506 × 599,506
  4. Step 4: Simplify right side
    407,666x = 359,407,444,036
  5. Step 5: Solve for x
    x = 359,407,444,036/407,666
  6. Step 6: Final answer
    x = 881,622.32

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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.