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Finding the Third Proportional to 295,135 and 625,738

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Solution

The third proportional to 295,135 and 625,738 is: 1,326,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,135 : 625,738 = 625,738 : x
  2. Step 2: Convert to fraction form
    295,135/625,738 = 625,738/x
  3. Step 3: Cross multiply
    295,135x = 625,738 × 625,738
  4. Step 4: Simplify right side
    295,135x = 391,548,044,644
  5. Step 5: Solve for x
    x = 391,548,044,644/295,135
  6. Step 6: Final answer
    x = 1,326,674.39

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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.