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Finding the Third Proportional to 531,732 and 817,314

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Solution

The third proportional to 531,732 and 817,314 is: 1,256,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,732 : 817,314 = 817,314 : x
  2. Step 2: Convert to fraction form
    531,732/817,314 = 817,314/x
  3. Step 3: Cross multiply
    531,732x = 817,314 × 817,314
  4. Step 4: Simplify right side
    531,732x = 668,002,174,596
  5. Step 5: Solve for x
    x = 668,002,174,596/531,732
  6. Step 6: Final answer
    x = 1,256,276.05

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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.