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Finding the Third Proportional to 219,528 and 472,338

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Solution

The third proportional to 219,528 and 472,338 is: 1,016,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,528 : 472,338 = 472,338 : x
  2. Step 2: Convert to fraction form
    219,528/472,338 = 472,338/x
  3. Step 3: Cross multiply
    219,528x = 472,338 × 472,338
  4. Step 4: Simplify right side
    219,528x = 223,103,186,244
  5. Step 5: Solve for x
    x = 223,103,186,244/219,528
  6. Step 6: Final answer
    x = 1,016,285.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.