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Finding the Third Proportional to 255,210 and 559,266

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Solution

The third proportional to 255,210 and 559,266 is: 1,225,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,210 : 559,266 = 559,266 : x
  2. Step 2: Convert to fraction form
    255,210/559,266 = 559,266/x
  3. Step 3: Cross multiply
    255,210x = 559,266 × 559,266
  4. Step 4: Simplify right side
    255,210x = 312,778,458,756
  5. Step 5: Solve for x
    x = 312,778,458,756/255,210
  6. Step 6: Final answer
    x = 1,225,572.90

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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.