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Finding the Third Proportional to 472,443.25 and 727,158

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Solution

The third proportional to 472,443.25 and 727,158 is: 1,119,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,443.25 : 727,158 = 727,158 : x
  2. Step 2: Convert to fraction form
    472,443.25/727,158 = 727,158/x
  3. Step 3: Cross multiply
    472,443.25x = 727,158 × 727,158
  4. Step 4: Simplify right side
    472,443.25x = 528,758,756,964
  5. Step 5: Solve for x
    x = 528,758,756,964/472,443.25
  6. Step 6: Final answer
    x = 1,119,200.57

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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.