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Finding the Third Proportional to 210,049 and 460,924

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Solution

The third proportional to 210,049 and 460,924 is: 1,011,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,049 : 460,924 = 460,924 : x
  2. Step 2: Convert to fraction form
    210,049/460,924 = 460,924/x
  3. Step 3: Cross multiply
    210,049x = 460,924 × 460,924
  4. Step 4: Simplify right side
    210,049x = 212,450,933,776
  5. Step 5: Solve for x
    x = 212,450,933,776/210,049
  6. Step 6: Final answer
    x = 1,011,435.11

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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.