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Finding the Third Proportional to 214,350 and 465,594

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Solution

The third proportional to 214,350 and 465,594 is: 1,011,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,350 : 465,594 = 465,594 : x
  2. Step 2: Convert to fraction form
    214,350/465,594 = 465,594/x
  3. Step 3: Cross multiply
    214,350x = 465,594 × 465,594
  4. Step 4: Simplify right side
    214,350x = 216,777,772,836
  5. Step 5: Solve for x
    x = 216,777,772,836/214,350
  6. Step 6: Final answer
    x = 1,011,326.21

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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.