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Finding the Third Proportional to 212,120 and 460,692

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Solution

The third proportional to 212,120 and 460,692 is: 1,000,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,120 : 460,692 = 460,692 : x
  2. Step 2: Convert to fraction form
    212,120/460,692 = 460,692/x
  3. Step 3: Cross multiply
    212,120x = 460,692 × 460,692
  4. Step 4: Simplify right side
    212,120x = 212,237,118,864
  5. Step 5: Solve for x
    x = 212,237,118,864/212,120
  6. Step 6: Final answer
    x = 1,000,552.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.