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Finding the Third Proportional to 210,048 and 460,919

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Solution

The third proportional to 210,048 and 460,919 is: 1,011,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,048 : 460,919 = 460,919 : x
  2. Step 2: Convert to fraction form
    210,048/460,919 = 460,919/x
  3. Step 3: Cross multiply
    210,048x = 460,919 × 460,919
  4. Step 4: Simplify right side
    210,048x = 212,446,324,561
  5. Step 5: Solve for x
    x = 212,446,324,561/210,048
  6. Step 6: Final answer
    x = 1,011,417.98

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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.