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Finding the Third Proportional to 314,593.88 and 488,019.94

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Solution

The third proportional to 314,593.88 and 488,019.94 is: 757,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,593.88 : 488,019.94 = 488,019.94 : x
  2. Step 2: Convert to fraction form
    314,593.88/488,019.94 = 488,019.94/x
  3. Step 3: Cross multiply
    314,593.88x = 488,019.94 × 488,019.94
  4. Step 4: Simplify right side
    314,593.88x = 238,163,459,397.50
  5. Step 5: Solve for x
    x = 238,163,459,397.50/314,593.88
  6. Step 6: Final answer
    x = 757,050.53

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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.