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Finding the Third Proportional to 219,276 and 469,656

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Solution

The third proportional to 219,276 and 469,656 is: 1,005,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,276 : 469,656 = 469,656 : x
  2. Step 2: Convert to fraction form
    219,276/469,656 = 469,656/x
  3. Step 3: Cross multiply
    219,276x = 469,656 × 469,656
  4. Step 4: Simplify right side
    219,276x = 220,576,758,336
  5. Step 5: Solve for x
    x = 220,576,758,336/219,276
  6. Step 6: Final answer
    x = 1,005,932.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.