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Finding the Third Proportional to 407,350.59 and 616,268.81

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Solution

The third proportional to 407,350.59 and 616,268.81 is: 932,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,350.59 : 616,268.81 = 616,268.81 : x
  2. Step 2: Convert to fraction form
    407,350.59/616,268.81 = 616,268.81/x
  3. Step 3: Cross multiply
    407,350.59x = 616,268.81 × 616,268.81
  4. Step 4: Simplify right side
    407,350.59x = 379,787,249,260.16
  5. Step 5: Solve for x
    x = 379,787,249,260.16/407,350.59
  6. Step 6: Final answer
    x = 932,335.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.