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Finding the Third Proportional to 295,766 and 454,623

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Solution

The third proportional to 295,766 and 454,623 is: 698,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,766 : 454,623 = 454,623 : x
  2. Step 2: Convert to fraction form
    295,766/454,623 = 454,623/x
  3. Step 3: Cross multiply
    295,766x = 454,623 × 454,623
  4. Step 4: Simplify right side
    295,766x = 206,682,072,129
  5. Step 5: Solve for x
    x = 206,682,072,129/295,766
  6. Step 6: Final answer
    x = 698,802.68

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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.