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Finding the Third Proportional to 531,730 and 817,311

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Solution

The third proportional to 531,730 and 817,311 is: 1,256,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,730 : 817,311 = 817,311 : x
  2. Step 2: Convert to fraction form
    531,730/817,311 = 817,311/x
  3. Step 3: Cross multiply
    531,730x = 817,311 × 817,311
  4. Step 4: Simplify right side
    531,730x = 667,997,270,721
  5. Step 5: Solve for x
    x = 667,997,270,721/531,730
  6. Step 6: Final answer
    x = 1,256,271.55

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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.