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Finding the Third Proportional to 215,132 and 472,724

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Solution

The third proportional to 215,132 and 472,724 is: 1,038,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,132 : 472,724 = 472,724 : x
  2. Step 2: Convert to fraction form
    215,132/472,724 = 472,724/x
  3. Step 3: Cross multiply
    215,132x = 472,724 × 472,724
  4. Step 4: Simplify right side
    215,132x = 223,467,980,176
  5. Step 5: Solve for x
    x = 223,467,980,176/215,132
  6. Step 6: Final answer
    x = 1,038,748.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.