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Finding the Third Proportional to 255,980 and 558,614

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Solution

The third proportional to 255,980 and 558,614 is: 1,219,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,980 : 558,614 = 558,614 : x
  2. Step 2: Convert to fraction form
    255,980/558,614 = 558,614/x
  3. Step 3: Cross multiply
    255,980x = 558,614 × 558,614
  4. Step 4: Simplify right side
    255,980x = 312,049,600,996
  5. Step 5: Solve for x
    x = 312,049,600,996/255,980
  6. Step 6: Final answer
    x = 1,219,038.99

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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.