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Finding the Third Proportional to 255,968 and 558,592

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Solution

The third proportional to 255,968 and 558,592 is: 1,219,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,968 : 558,592 = 558,592 : x
  2. Step 2: Convert to fraction form
    255,968/558,592 = 558,592/x
  3. Step 3: Cross multiply
    255,968x = 558,592 × 558,592
  4. Step 4: Simplify right side
    255,968x = 312,025,022,464
  5. Step 5: Solve for x
    x = 312,025,022,464/255,968
  6. Step 6: Final answer
    x = 1,219,000.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.