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Finding the Third Proportional to 395,472 and 612,868.50

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Solution

The third proportional to 395,472 and 612,868.50 is: 949,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,472 : 612,868.50 = 612,868.50 : x
  2. Step 2: Convert to fraction form
    395,472/612,868.50 = 612,868.50/x
  3. Step 3: Cross multiply
    395,472x = 612,868.50 × 612,868.50
  4. Step 4: Simplify right side
    395,472x = 375,607,798,292.25
  5. Step 5: Solve for x
    x = 375,607,798,292.25/395,472
  6. Step 6: Final answer
    x = 949,770.90

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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.