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Finding the Third Proportional to 219,628 and 479,532

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Solution

The third proportional to 219,628 and 479,532 is: 1,047,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,628 : 479,532 = 479,532 : x
  2. Step 2: Convert to fraction form
    219,628/479,532 = 479,532/x
  3. Step 3: Cross multiply
    219,628x = 479,532 × 479,532
  4. Step 4: Simplify right side
    219,628x = 229,950,939,024
  5. Step 5: Solve for x
    x = 229,950,939,024/219,628
  6. Step 6: Final answer
    x = 1,047,001.93

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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.