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Finding the Third Proportional to 217,630.50 and 472,641

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Solution

The third proportional to 217,630.50 and 472,641 is: 1,026,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,630.50 : 472,641 = 472,641 : x
  2. Step 2: Convert to fraction form
    217,630.50/472,641 = 472,641/x
  3. Step 3: Cross multiply
    217,630.50x = 472,641 × 472,641
  4. Step 4: Simplify right side
    217,630.50x = 223,389,514,881
  5. Step 5: Solve for x
    x = 223,389,514,881/217,630.50
  6. Step 6: Final answer
    x = 1,026,462.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.