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Finding the Third Proportional to 211,292 and 460,492

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Solution

The third proportional to 211,292 and 460,492 is: 1,003,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,292 : 460,492 = 460,492 : x
  2. Step 2: Convert to fraction form
    211,292/460,492 = 460,492/x
  3. Step 3: Cross multiply
    211,292x = 460,492 × 460,492
  4. Step 4: Simplify right side
    211,292x = 212,052,882,064
  5. Step 5: Solve for x
    x = 212,052,882,064/211,292
  6. Step 6: Final answer
    x = 1,003,601.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.