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Finding the Third Proportional to 295,668 and 454,983.75

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Solution

The third proportional to 295,668 and 454,983.75 is: 700,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,668 : 454,983.75 = 454,983.75 : x
  2. Step 2: Convert to fraction form
    295,668/454,983.75 = 454,983.75/x
  3. Step 3: Cross multiply
    295,668x = 454,983.75 × 454,983.75
  4. Step 4: Simplify right side
    295,668x = 207,010,212,764.06
  5. Step 5: Solve for x
    x = 207,010,212,764.06/295,668
  6. Step 6: Final answer
    x = 700,144.12

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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.