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Finding the Third Proportional to 295,866 and 628,587

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Solution

The third proportional to 295,866 and 628,587 is: 1,335,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,866 : 628,587 = 628,587 : x
  2. Step 2: Convert to fraction form
    295,866/628,587 = 628,587/x
  3. Step 3: Cross multiply
    295,866x = 628,587 × 628,587
  4. Step 4: Simplify right side
    295,866x = 395,121,616,569
  5. Step 5: Solve for x
    x = 395,121,616,569/295,866
  6. Step 6: Final answer
    x = 1,335,474.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.