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Finding the Third Proportional to 264,119 and 569,518

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Solution

The third proportional to 264,119 and 569,518 is: 1,228,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,119 : 569,518 = 569,518 : x
  2. Step 2: Convert to fraction form
    264,119/569,518 = 569,518/x
  3. Step 3: Cross multiply
    264,119x = 569,518 × 569,518
  4. Step 4: Simplify right side
    264,119x = 324,350,752,324
  5. Step 5: Solve for x
    x = 324,350,752,324/264,119
  6. Step 6: Final answer
    x = 1,228,047.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.