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Finding the Third Proportional to 214,337 and 465,574

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Solution

The third proportional to 214,337 and 465,574 is: 1,011,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,337 : 465,574 = 465,574 : x
  2. Step 2: Convert to fraction form
    214,337/465,574 = 465,574/x
  3. Step 3: Cross multiply
    214,337x = 465,574 × 465,574
  4. Step 4: Simplify right side
    214,337x = 216,759,149,476
  5. Step 5: Solve for x
    x = 216,759,149,476/214,337
  6. Step 6: Final answer
    x = 1,011,300.66

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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.