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Finding the Third Proportional to 219,552 and 456,330

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Solution

The third proportional to 219,552 and 456,330 is: 948,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,552 : 456,330 = 456,330 : x
  2. Step 2: Convert to fraction form
    219,552/456,330 = 456,330/x
  3. Step 3: Cross multiply
    219,552x = 456,330 × 456,330
  4. Step 4: Simplify right side
    219,552x = 208,237,068,900
  5. Step 5: Solve for x
    x = 208,237,068,900/219,552
  6. Step 6: Final answer
    x = 948,463.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.