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Finding the Third Proportional to 395,434 and 612,813

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Solution

The third proportional to 395,434 and 612,813 is: 949,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,434 : 612,813 = 612,813 : x
  2. Step 2: Convert to fraction form
    395,434/612,813 = 612,813/x
  3. Step 3: Cross multiply
    395,434x = 612,813 × 612,813
  4. Step 4: Simplify right side
    395,434x = 375,539,772,969
  5. Step 5: Solve for x
    x = 375,539,772,969/395,434
  6. Step 6: Final answer
    x = 949,690.15

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Why These Related Problems?

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