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Finding the Third Proportional to 213,282 and 460,710

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Solution

The third proportional to 213,282 and 460,710 is: 995,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,282 : 460,710 = 460,710 : x
  2. Step 2: Convert to fraction form
    213,282/460,710 = 460,710/x
  3. Step 3: Cross multiply
    213,282x = 460,710 × 460,710
  4. Step 4: Simplify right side
    213,282x = 212,253,704,100
  5. Step 5: Solve for x
    x = 212,253,704,100/213,282
  6. Step 6: Final answer
    x = 995,178.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.