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Finding the Third Proportional to 255,396.56 and 560,607.94

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Solution

The third proportional to 255,396.56 and 560,607.94 is: 1,230,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,396.56 : 560,607.94 = 560,607.94 : x
  2. Step 2: Convert to fraction form
    255,396.56/560,607.94 = 560,607.94/x
  3. Step 3: Cross multiply
    255,396.56x = 560,607.94 × 560,607.94
  4. Step 4: Simplify right side
    255,396.56x = 314,281,259,588.00
  5. Step 5: Solve for x
    x = 314,281,259,588.00/255,396.56
  6. Step 6: Final answer
    x = 1,230,561.82

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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.