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Finding the Third Proportional to 357,113.18 and 768,892.82

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Solution

The third proportional to 357,113.18 and 768,892.82 is: 1,655,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,113.18 : 768,892.82 = 768,892.82 : x
  2. Step 2: Convert to fraction form
    357,113.18/768,892.82 = 768,892.82/x
  3. Step 3: Cross multiply
    357,113.18x = 768,892.82 × 768,892.82
  4. Step 4: Simplify right side
    357,113.18x = 591,196,163,121.09
  5. Step 5: Solve for x
    x = 591,196,163,121.09/357,113.18
  6. Step 6: Final answer
    x = 1,655,486.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.