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Finding the Third Proportional to 305,127 and 472,068

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Solution

The third proportional to 305,127 and 472,068 is: 730,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,127 : 472,068 = 472,068 : x
  2. Step 2: Convert to fraction form
    305,127/472,068 = 472,068/x
  3. Step 3: Cross multiply
    305,127x = 472,068 × 472,068
  4. Step 4: Simplify right side
    305,127x = 222,848,196,624
  5. Step 5: Solve for x
    x = 222,848,196,624/305,127
  6. Step 6: Final answer
    x = 730,345.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.