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Finding the Third Proportional to 212,762 and 460,984

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Solution

The third proportional to 212,762 and 460,984 is: 998,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,762 : 460,984 = 460,984 : x
  2. Step 2: Convert to fraction form
    212,762/460,984 = 460,984/x
  3. Step 3: Cross multiply
    212,762x = 460,984 × 460,984
  4. Step 4: Simplify right side
    212,762x = 212,506,248,256
  5. Step 5: Solve for x
    x = 212,506,248,256/212,762
  6. Step 6: Final answer
    x = 998,797.94

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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.