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Finding the Third Proportional to 295,868 and 628,591

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Solution

The third proportional to 295,868 and 628,591 is: 1,335,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,868 : 628,591 = 628,591 : x
  2. Step 2: Convert to fraction form
    295,868/628,591 = 628,591/x
  3. Step 3: Cross multiply
    295,868x = 628,591 × 628,591
  4. Step 4: Simplify right side
    295,868x = 395,126,645,281
  5. Step 5: Solve for x
    x = 395,126,645,281/295,868
  6. Step 6: Final answer
    x = 1,335,482.87

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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.