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Finding the Third Proportional to 217,104 and 473,376

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Solution

The third proportional to 217,104 and 473,376 is: 1,032,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,104 : 473,376 = 473,376 : x
  2. Step 2: Convert to fraction form
    217,104/473,376 = 473,376/x
  3. Step 3: Cross multiply
    217,104x = 473,376 × 473,376
  4. Step 4: Simplify right side
    217,104x = 224,084,837,376
  5. Step 5: Solve for x
    x = 224,084,837,376/217,104
  6. Step 6: Final answer
    x = 1,032,154.35

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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.