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Finding the Third Proportional to 216,890 and 469,984

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Solution

The third proportional to 216,890 and 469,984 is: 1,018,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,890 : 469,984 = 469,984 : x
  2. Step 2: Convert to fraction form
    216,890/469,984 = 469,984/x
  3. Step 3: Cross multiply
    216,890x = 469,984 × 469,984
  4. Step 4: Simplify right side
    216,890x = 220,884,960,256
  5. Step 5: Solve for x
    x = 220,884,960,256/216,890
  6. Step 6: Final answer
    x = 1,018,419.29

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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.