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Finding the Third Proportional to 256,536 and 565,596

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Solution

The third proportional to 256,536 and 565,596 is: 1,246,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,536 : 565,596 = 565,596 : x
  2. Step 2: Convert to fraction form
    256,536/565,596 = 565,596/x
  3. Step 3: Cross multiply
    256,536x = 565,596 × 565,596
  4. Step 4: Simplify right side
    256,536x = 319,898,835,216
  5. Step 5: Solve for x
    x = 319,898,835,216/256,536
  6. Step 6: Final answer
    x = 1,246,993.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.