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Finding the Third Proportional to 400,470 and 620,254.50

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Solution

The third proportional to 400,470 and 620,254.50 is: 960,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,470 : 620,254.50 = 620,254.50 : x
  2. Step 2: Convert to fraction form
    400,470/620,254.50 = 620,254.50/x
  3. Step 3: Cross multiply
    400,470x = 620,254.50 × 620,254.50
  4. Step 4: Simplify right side
    400,470x = 384,715,644,770.25
  5. Step 5: Solve for x
    x = 384,715,644,770.25/400,470
  6. Step 6: Final answer
    x = 960,660.34

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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.