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Finding the Third Proportional to 264,416 and 515,548

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Solution

The third proportional to 264,416 and 515,548 is: 1,005,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,416 : 515,548 = 515,548 : x
  2. Step 2: Convert to fraction form
    264,416/515,548 = 515,548/x
  3. Step 3: Cross multiply
    264,416x = 515,548 × 515,548
  4. Step 4: Simplify right side
    264,416x = 265,789,740,304
  5. Step 5: Solve for x
    x = 265,789,740,304/264,416
  6. Step 6: Final answer
    x = 1,005,195.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.