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Finding the Third Proportional to 256,658 and 529,576

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Solution

The third proportional to 256,658 and 529,576 is: 1,092,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,658 : 529,576 = 529,576 : x
  2. Step 2: Convert to fraction form
    256,658/529,576 = 529,576/x
  3. Step 3: Cross multiply
    256,658x = 529,576 × 529,576
  4. Step 4: Simplify right side
    256,658x = 280,450,739,776
  5. Step 5: Solve for x
    x = 280,450,739,776/256,658
  6. Step 6: Final answer
    x = 1,092,702.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.