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Finding the Third Proportional to 217,106 and 473,380

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Solution

The third proportional to 217,106 and 473,380 is: 1,032,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,106 : 473,380 = 473,380 : x
  2. Step 2: Convert to fraction form
    217,106/473,380 = 473,380/x
  3. Step 3: Cross multiply
    217,106x = 473,380 × 473,380
  4. Step 4: Simplify right side
    217,106x = 224,088,624,400
  5. Step 5: Solve for x
    x = 224,088,624,400/217,106
  6. Step 6: Final answer
    x = 1,032,162.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.