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Finding the Third Proportional to 305,748 and 625,104

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Solution

The third proportional to 305,748 and 625,104 is: 1,278,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,748 : 625,104 = 625,104 : x
  2. Step 2: Convert to fraction form
    305,748/625,104 = 625,104/x
  3. Step 3: Cross multiply
    305,748x = 625,104 × 625,104
  4. Step 4: Simplify right side
    305,748x = 390,755,010,816
  5. Step 5: Solve for x
    x = 390,755,010,816/305,748
  6. Step 6: Final answer
    x = 1,278,029.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.