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Finding the Third Proportional to 266,238.75 and 573,076.50

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Solution

The third proportional to 266,238.75 and 573,076.50 is: 1,233,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,238.75 : 573,076.50 = 573,076.50 : x
  2. Step 2: Convert to fraction form
    266,238.75/573,076.50 = 573,076.50/x
  3. Step 3: Cross multiply
    266,238.75x = 573,076.50 × 573,076.50
  4. Step 4: Simplify right side
    266,238.75x = 328,416,674,852.25
  5. Step 5: Solve for x
    x = 328,416,674,852.25/266,238.75
  6. Step 6: Final answer
    x = 1,233,541.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.