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Finding the Third Proportional to 219,576 and 472,440

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Solution

The third proportional to 219,576 and 472,440 is: 1,016,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,576 : 472,440 = 472,440 : x
  2. Step 2: Convert to fraction form
    219,576/472,440 = 472,440/x
  3. Step 3: Cross multiply
    219,576x = 472,440 × 472,440
  4. Step 4: Simplify right side
    219,576x = 223,199,553,600
  5. Step 5: Solve for x
    x = 223,199,553,600/219,576
  6. Step 6: Final answer
    x = 1,016,502.50

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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.