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Finding the Third Proportional to 472,004.09 and 725,925.59

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Solution

The third proportional to 472,004.09 and 725,925.59 is: 1,116,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,004.09 : 725,925.59 = 725,925.59 : x
  2. Step 2: Convert to fraction form
    472,004.09/725,925.59 = 725,925.59/x
  3. Step 3: Cross multiply
    472,004.09x = 725,925.59 × 725,925.59
  4. Step 4: Simplify right side
    472,004.09x = 526,967,956,318.70
  5. Step 5: Solve for x
    x = 526,967,956,318.70/472,004.09
  6. Step 6: Final answer
    x = 1,116,447.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.