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Finding the Third Proportional to 254,240 and 559,424

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Solution

The third proportional to 254,240 and 559,424 is: 1,230,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,240 : 559,424 = 559,424 : x
  2. Step 2: Convert to fraction form
    254,240/559,424 = 559,424/x
  3. Step 3: Cross multiply
    254,240x = 559,424 × 559,424
  4. Step 4: Simplify right side
    254,240x = 312,955,211,776
  5. Step 5: Solve for x
    x = 312,955,211,776/254,240
  6. Step 6: Final answer
    x = 1,230,944.04

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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.