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Finding the Third Proportional to 295,668 and 455,084

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Solution

The third proportional to 295,668 and 455,084 is: 700,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,668 : 455,084 = 455,084 : x
  2. Step 2: Convert to fraction form
    295,668/455,084 = 455,084/x
  3. Step 3: Cross multiply
    295,668x = 455,084 × 455,084
  4. Step 4: Simplify right side
    295,668x = 207,101,447,056
  5. Step 5: Solve for x
    x = 207,101,447,056/295,668
  6. Step 6: Final answer
    x = 700,452.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.