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Finding the Third Proportional to 210,062 and 460,942

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Solution

The third proportional to 210,062 and 460,942 is: 1,011,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,062 : 460,942 = 460,942 : x
  2. Step 2: Convert to fraction form
    210,062/460,942 = 460,942/x
  3. Step 3: Cross multiply
    210,062x = 460,942 × 460,942
  4. Step 4: Simplify right side
    210,062x = 212,467,527,364
  5. Step 5: Solve for x
    x = 212,467,527,364/210,062
  6. Step 6: Final answer
    x = 1,011,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.