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Finding the Third Proportional to 219,280 and 473,472

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Solution

The third proportional to 219,280 and 473,472 is: 1,022,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,280 : 473,472 = 473,472 : x
  2. Step 2: Convert to fraction form
    219,280/473,472 = 473,472/x
  3. Step 3: Cross multiply
    219,280x = 473,472 × 473,472
  4. Step 4: Simplify right side
    219,280x = 224,175,734,784
  5. Step 5: Solve for x
    x = 224,175,734,784/219,280
  6. Step 6: Final answer
    x = 1,022,326.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.