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Finding the Third Proportional to 214,472 and 465,808

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Solution

The third proportional to 214,472 and 465,808 is: 1,011,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,472 : 465,808 = 465,808 : x
  2. Step 2: Convert to fraction form
    214,472/465,808 = 465,808/x
  3. Step 3: Cross multiply
    214,472x = 465,808 × 465,808
  4. Step 4: Simplify right side
    214,472x = 216,977,092,864
  5. Step 5: Solve for x
    x = 216,977,092,864/214,472
  6. Step 6: Final answer
    x = 1,011,680.28

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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.