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Finding the Third Proportional to 407,653.88 and 599,491.13

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Solution

The third proportional to 407,653.88 and 599,491.13 is: 881,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,653.88 : 599,491.13 = 599,491.13 : x
  2. Step 2: Convert to fraction form
    407,653.88/599,491.13 = 599,491.13/x
  3. Step 3: Cross multiply
    407,653.88x = 599,491.13 × 599,491.13
  4. Step 4: Simplify right side
    407,653.88x = 359,389,608,953.77
  5. Step 5: Solve for x
    x = 359,389,608,953.77/407,653.88
  6. Step 6: Final answer
    x = 881,604.79

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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.