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Finding the Third Proportional to 407,665.13 and 599,509.13

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Solution

The third proportional to 407,665.13 and 599,509.13 is: 881,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,665.13 : 599,509.13 = 599,509.13 : x
  2. Step 2: Convert to fraction form
    407,665.13/599,509.13 = 599,509.13/x
  3. Step 3: Cross multiply
    407,665.13x = 599,509.13 × 599,509.13
  4. Step 4: Simplify right side
    407,665.13x = 359,411,190,958.27
  5. Step 5: Solve for x
    x = 359,411,190,958.27/407,665.13
  6. Step 6: Final answer
    x = 881,633.40

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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.