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Finding the Third Proportional to 255,208 and 559,262

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Solution

The third proportional to 255,208 and 559,262 is: 1,225,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208 : 559,262 = 559,262 : x
  2. Step 2: Convert to fraction form
    255,208/559,262 = 559,262/x
  3. Step 3: Cross multiply
    255,208x = 559,262 × 559,262
  4. Step 4: Simplify right side
    255,208x = 312,773,984,644
  5. Step 5: Solve for x
    x = 312,773,984,644/255,208
  6. Step 6: Final answer
    x = 1,225,564.97

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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.