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Finding the Third Proportional to 516,576 and 798,288

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Solution

The third proportional to 516,576 and 798,288 is: 1,233,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,576 : 798,288 = 798,288 : x
  2. Step 2: Convert to fraction form
    516,576/798,288 = 798,288/x
  3. Step 3: Cross multiply
    516,576x = 798,288 × 798,288
  4. Step 4: Simplify right side
    516,576x = 637,263,730,944
  5. Step 5: Solve for x
    x = 637,263,730,944/516,576
  6. Step 6: Final answer
    x = 1,233,630.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.