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Finding the Third Proportional to 295,740 and 454,578

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Solution

The third proportional to 295,740 and 454,578 is: 698,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,740 : 454,578 = 454,578 : x
  2. Step 2: Convert to fraction form
    295,740/454,578 = 454,578/x
  3. Step 3: Cross multiply
    295,740x = 454,578 × 454,578
  4. Step 4: Simplify right side
    295,740x = 206,641,158,084
  5. Step 5: Solve for x
    x = 206,641,158,084/295,740
  6. Step 6: Final answer
    x = 698,725.77

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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.