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Finding the Third Proportional to 531,930 and 817,578

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Solution

The third proportional to 531,930 and 817,578 is: 1,256,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,930 : 817,578 = 817,578 : x
  2. Step 2: Convert to fraction form
    531,930/817,578 = 817,578/x
  3. Step 3: Cross multiply
    531,930x = 817,578 × 817,578
  4. Step 4: Simplify right side
    531,930x = 668,433,786,084
  5. Step 5: Solve for x
    x = 668,433,786,084/531,930
  6. Step 6: Final answer
    x = 1,256,619.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.