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Finding the Third Proportional to 217,765.13 and 468,905.63

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Solution

The third proportional to 217,765.13 and 468,905.63 is: 1,009,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,765.13 : 468,905.63 = 468,905.63 : x
  2. Step 2: Convert to fraction form
    217,765.13/468,905.63 = 468,905.63/x
  3. Step 3: Cross multiply
    217,765.13x = 468,905.63 × 468,905.63
  4. Step 4: Simplify right side
    217,765.13x = 219,872,485,156.64
  5. Step 5: Solve for x
    x = 219,872,485,156.64/217,765.13
  6. Step 6: Final answer
    x = 1,009,677.22

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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.