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Finding the Third Proportional to 395,586 and 612,925.50

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Solution

The third proportional to 395,586 and 612,925.50 is: 949,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,586 : 612,925.50 = 612,925.50 : x
  2. Step 2: Convert to fraction form
    395,586/612,925.50 = 612,925.50/x
  3. Step 3: Cross multiply
    395,586x = 612,925.50 × 612,925.50
  4. Step 4: Simplify right side
    395,586x = 375,677,668,550.25
  5. Step 5: Solve for x
    x = 375,677,668,550.25/395,586
  6. Step 6: Final answer
    x = 949,673.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.