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Finding the Third Proportional to 499,188 and 755,154

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Solution

The third proportional to 499,188 and 755,154 is: 1,142,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,188 : 755,154 = 755,154 : x
  2. Step 2: Convert to fraction form
    499,188/755,154 = 755,154/x
  3. Step 3: Cross multiply
    499,188x = 755,154 × 755,154
  4. Step 4: Simplify right side
    499,188x = 570,257,563,716
  5. Step 5: Solve for x
    x = 570,257,563,716/499,188
  6. Step 6: Final answer
    x = 1,142,370.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.