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Finding the Third Proportional to 217,656.75 and 457,345.50

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Solution

The third proportional to 217,656.75 and 457,345.50 is: 960,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,656.75 : 457,345.50 = 457,345.50 : x
  2. Step 2: Convert to fraction form
    217,656.75/457,345.50 = 457,345.50/x
  3. Step 3: Cross multiply
    217,656.75x = 457,345.50 × 457,345.50
  4. Step 4: Simplify right side
    217,656.75x = 209,164,906,370.25
  5. Step 5: Solve for x
    x = 209,164,906,370.25/217,656.75
  6. Step 6: Final answer
    x = 960,985.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.