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Finding the Third Proportional to 214,776 and 466,444

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Solution

The third proportional to 214,776 and 466,444 is: 1,013,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776 : 466,444 = 466,444 : x
  2. Step 2: Convert to fraction form
    214,776/466,444 = 466,444/x
  3. Step 3: Cross multiply
    214,776x = 466,444 × 466,444
  4. Step 4: Simplify right side
    214,776x = 217,570,005,136
  5. Step 5: Solve for x
    x = 217,570,005,136/214,776
  6. Step 6: Final answer
    x = 1,013,008.93

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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.