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Finding the Third Proportional to 264,254 and 466,444

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Solution

The third proportional to 264,254 and 466,444 is: 823,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,254 : 466,444 = 466,444 : x
  2. Step 2: Convert to fraction form
    264,254/466,444 = 466,444/x
  3. Step 3: Cross multiply
    264,254x = 466,444 × 466,444
  4. Step 4: Simplify right side
    264,254x = 217,570,005,136
  5. Step 5: Solve for x
    x = 217,570,005,136/264,254
  6. Step 6: Final answer
    x = 823,336.66

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.