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Finding the Third Proportional to 216,321 and 465,924

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Solution

The third proportional to 216,321 and 465,924 is: 1,003,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,321 : 465,924 = 465,924 : x
  2. Step 2: Convert to fraction form
    216,321/465,924 = 465,924/x
  3. Step 3: Cross multiply
    216,321x = 465,924 × 465,924
  4. Step 4: Simplify right side
    216,321x = 217,085,173,776
  5. Step 5: Solve for x
    x = 217,085,173,776/216,321
  6. Step 6: Final answer
    x = 1,003,532.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.