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Finding the Third Proportional to 472,908.38 and 714,268.13

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Solution

The third proportional to 472,908.38 and 714,268.13 is: 1,078,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,908.38 : 714,268.13 = 714,268.13 : x
  2. Step 2: Convert to fraction form
    472,908.38/714,268.13 = 714,268.13/x
  3. Step 3: Cross multiply
    472,908.38x = 714,268.13 × 714,268.13
  4. Step 4: Simplify right side
    472,908.38x = 510,178,954,391.02
  5. Step 5: Solve for x
    x = 510,178,954,391.02/472,908.38
  6. Step 6: Final answer
    x = 1,078,811.42

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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.