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Finding the Third Proportional to 215,282.81 and 465,010.88

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Solution

The third proportional to 215,282.81 and 465,010.88 is: 1,004,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,282.81 : 465,010.88 = 465,010.88 : x
  2. Step 2: Convert to fraction form
    215,282.81/465,010.88 = 465,010.88/x
  3. Step 3: Cross multiply
    215,282.81x = 465,010.88 × 465,010.88
  4. Step 4: Simplify right side
    215,282.81x = 216,235,113,868.27
  5. Step 5: Solve for x
    x = 216,235,113,868.27/215,282.81
  6. Step 6: Final answer
    x = 1,004,423.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.