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Finding the Third Proportional to 298,886 and 625,468

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Solution

The third proportional to 298,886 and 625,468 is: 1,308,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,886 : 625,468 = 625,468 : x
  2. Step 2: Convert to fraction form
    298,886/625,468 = 625,468/x
  3. Step 3: Cross multiply
    298,886x = 625,468 × 625,468
  4. Step 4: Simplify right side
    298,886x = 391,210,219,024
  5. Step 5: Solve for x
    x = 391,210,219,024/298,886
  6. Step 6: Final answer
    x = 1,308,894.42

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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.