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Finding the Third Proportional to 212,330 and 460,084

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Solution

The third proportional to 212,330 and 460,084 is: 996,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,330 : 460,084 = 460,084 : x
  2. Step 2: Convert to fraction form
    212,330/460,084 = 460,084/x
  3. Step 3: Cross multiply
    212,330x = 460,084 × 460,084
  4. Step 4: Simplify right side
    212,330x = 211,677,287,056
  5. Step 5: Solve for x
    x = 211,677,287,056/212,330
  6. Step 6: Final answer
    x = 996,925.95

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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.