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Finding the Third Proportional to 295,670 and 454,987

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Solution

The third proportional to 295,670 and 454,987 is: 700,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,670 : 454,987 = 454,987 : x
  2. Step 2: Convert to fraction form
    295,670/454,987 = 454,987/x
  3. Step 3: Cross multiply
    295,670x = 454,987 × 454,987
  4. Step 4: Simplify right side
    295,670x = 207,013,170,169
  5. Step 5: Solve for x
    x = 207,013,170,169/295,670
  6. Step 6: Final answer
    x = 700,149.39

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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.