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Finding the Third Proportional to 217,734 and 466,572

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Solution

The third proportional to 217,734 and 466,572 is: 999,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,734 : 466,572 = 466,572 : x
  2. Step 2: Convert to fraction form
    217,734/466,572 = 466,572/x
  3. Step 3: Cross multiply
    217,734x = 466,572 × 466,572
  4. Step 4: Simplify right side
    217,734x = 217,689,431,184
  5. Step 5: Solve for x
    x = 217,689,431,184/217,734
  6. Step 6: Final answer
    x = 999,795.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.