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Finding the Third Proportional to 395,403 and 612,767.25

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Solution

The third proportional to 395,403 and 612,767.25 is: 949,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,403 : 612,767.25 = 612,767.25 : x
  2. Step 2: Convert to fraction form
    395,403/612,767.25 = 612,767.25/x
  3. Step 3: Cross multiply
    395,403x = 612,767.25 × 612,767.25
  4. Step 4: Simplify right side
    395,403x = 375,483,702,672.56
  5. Step 5: Solve for x
    x = 375,483,702,672.56/395,403
  6. Step 6: Final answer
    x = 949,622.80

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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.