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Finding the Third Proportional to 265,923 and 576,153

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Solution

The third proportional to 265,923 and 576,153 is: 1,248,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,923 : 576,153 = 576,153 : x
  2. Step 2: Convert to fraction form
    265,923/576,153 = 576,153/x
  3. Step 3: Cross multiply
    265,923x = 576,153 × 576,153
  4. Step 4: Simplify right side
    265,923x = 331,952,279,409
  5. Step 5: Solve for x
    x = 331,952,279,409/265,923
  6. Step 6: Final answer
    x = 1,248,302.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.