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Finding the Third Proportional to 407,635.88 and 599,465.81

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Solution

The third proportional to 407,635.88 and 599,465.81 is: 881,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,635.88 : 599,465.81 = 599,465.81 : x
  2. Step 2: Convert to fraction form
    407,635.88/599,465.81 = 599,465.81/x
  3. Step 3: Cross multiply
    407,635.88x = 599,465.81 × 599,465.81
  4. Step 4: Simplify right side
    407,635.88x = 359,359,260,356.29
  5. Step 5: Solve for x
    x = 359,359,260,356.29/407,635.88
  6. Step 6: Final answer
    x = 881,569.27

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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.