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Finding the Third Proportional to 255,228 and 559,536

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Solution

The third proportional to 255,228 and 559,536 is: 1,226,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,228 : 559,536 = 559,536 : x
  2. Step 2: Convert to fraction form
    255,228/559,536 = 559,536/x
  3. Step 3: Cross multiply
    255,228x = 559,536 × 559,536
  4. Step 4: Simplify right side
    255,228x = 313,080,535,296
  5. Step 5: Solve for x
    x = 313,080,535,296/255,228
  6. Step 6: Final answer
    x = 1,226,670.02

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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.