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Finding the Third Proportional to 334,885.50 and 505,403.50

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Solution

The third proportional to 334,885.50 and 505,403.50 is: 762,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,885.50 : 505,403.50 = 505,403.50 : x
  2. Step 2: Convert to fraction form
    334,885.50/505,403.50 = 505,403.50/x
  3. Step 3: Cross multiply
    334,885.50x = 505,403.50 × 505,403.50
  4. Step 4: Simplify right side
    334,885.50x = 255,432,697,812.25
  5. Step 5: Solve for x
    x = 255,432,697,812.25/334,885.50
  6. Step 6: Final answer
    x = 762,746.36

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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.