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Finding the Third Proportional to 256,534 and 565,592

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Solution

The third proportional to 256,534 and 565,592 is: 1,246,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534 : 565,592 = 565,592 : x
  2. Step 2: Convert to fraction form
    256,534/565,592 = 565,592/x
  3. Step 3: Cross multiply
    256,534x = 565,592 × 565,592
  4. Step 4: Simplify right side
    256,534x = 319,894,310,464
  5. Step 5: Solve for x
    x = 319,894,310,464/256,534
  6. Step 6: Final answer
    x = 1,246,986.02

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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.