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Finding the Third Proportional to 219,272 and 469,648

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Solution

The third proportional to 219,272 and 469,648 is: 1,005,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,272 : 469,648 = 469,648 : x
  2. Step 2: Convert to fraction form
    219,272/469,648 = 469,648/x
  3. Step 3: Cross multiply
    219,272x = 469,648 × 469,648
  4. Step 4: Simplify right side
    219,272x = 220,569,243,904
  5. Step 5: Solve for x
    x = 220,569,243,904/219,272
  6. Step 6: Final answer
    x = 1,005,916.14

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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.