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Finding the Third Proportional to 395,433 and 612,812

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Solution

The third proportional to 395,433 and 612,812 is: 949,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,433 : 612,812 = 612,812 : x
  2. Step 2: Convert to fraction form
    395,433/612,812 = 612,812/x
  3. Step 3: Cross multiply
    395,433x = 612,812 × 612,812
  4. Step 4: Simplify right side
    395,433x = 375,538,547,344
  5. Step 5: Solve for x
    x = 375,538,547,344/395,433
  6. Step 6: Final answer
    x = 949,689.45

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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.