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Finding the Third Proportional to 214,332 and 465,600

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Solution

The third proportional to 214,332 and 465,600 is: 1,011,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,332 : 465,600 = 465,600 : x
  2. Step 2: Convert to fraction form
    214,332/465,600 = 465,600/x
  3. Step 3: Cross multiply
    214,332x = 465,600 × 465,600
  4. Step 4: Simplify right side
    214,332x = 216,783,360,000
  5. Step 5: Solve for x
    x = 216,783,360,000/214,332
  6. Step 6: Final answer
    x = 1,011,437.21

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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.