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Finding the Third Proportional to 298,882 and 625,460

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Solution

The third proportional to 298,882 and 625,460 is: 1,308,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,882 : 625,460 = 625,460 : x
  2. Step 2: Convert to fraction form
    298,882/625,460 = 625,460/x
  3. Step 3: Cross multiply
    298,882x = 625,460 × 625,460
  4. Step 4: Simplify right side
    298,882x = 391,200,211,600
  5. Step 5: Solve for x
    x = 391,200,211,600/298,882
  6. Step 6: Final answer
    x = 1,308,878.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.