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Finding the Third Proportional to 219,532 and 478,846

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Solution

The third proportional to 219,532 and 478,846 is: 1,044,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,532 : 478,846 = 478,846 : x
  2. Step 2: Convert to fraction form
    219,532/478,846 = 478,846/x
  3. Step 3: Cross multiply
    219,532x = 478,846 × 478,846
  4. Step 4: Simplify right side
    219,532x = 229,293,491,716
  5. Step 5: Solve for x
    x = 229,293,491,716/219,532
  6. Step 6: Final answer
    x = 1,044,465.01

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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.