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Finding the Third Proportional to 255,232 and 559,544

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Solution

The third proportional to 255,232 and 559,544 is: 1,226,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,232 : 559,544 = 559,544 : x
  2. Step 2: Convert to fraction form
    255,232/559,544 = 559,544/x
  3. Step 3: Cross multiply
    255,232x = 559,544 × 559,544
  4. Step 4: Simplify right side
    255,232x = 313,089,487,936
  5. Step 5: Solve for x
    x = 313,089,487,936/255,232
  6. Step 6: Final answer
    x = 1,226,685.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.