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Finding the Third Proportional to 216,033 and 466,530

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Solution

The third proportional to 216,033 and 466,530 is: 1,007,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,033 : 466,530 = 466,530 : x
  2. Step 2: Convert to fraction form
    216,033/466,530 = 466,530/x
  3. Step 3: Cross multiply
    216,033x = 466,530 × 466,530
  4. Step 4: Simplify right side
    216,033x = 217,650,240,900
  5. Step 5: Solve for x
    x = 217,650,240,900/216,033
  6. Step 6: Final answer
    x = 1,007,486.08

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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.