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Finding the Third Proportional to 395,410 and 612,777

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Solution

The third proportional to 395,410 and 612,777 is: 949,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,410 : 612,777 = 612,777 : x
  2. Step 2: Convert to fraction form
    395,410/612,777 = 612,777/x
  3. Step 3: Cross multiply
    395,410x = 612,777 × 612,777
  4. Step 4: Simplify right side
    395,410x = 375,495,651,729
  5. Step 5: Solve for x
    x = 375,495,651,729/395,410
  6. Step 6: Final answer
    x = 949,636.20

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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.