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Finding the Third Proportional to 295,512 and 576,255

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Solution

The third proportional to 295,512 and 576,255 is: 1,123,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,512 : 576,255 = 576,255 : x
  2. Step 2: Convert to fraction form
    295,512/576,255 = 576,255/x
  3. Step 3: Cross multiply
    295,512x = 576,255 × 576,255
  4. Step 4: Simplify right side
    295,512x = 332,069,825,025
  5. Step 5: Solve for x
    x = 332,069,825,025/295,512
  6. Step 6: Final answer
    x = 1,123,710.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.