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Finding the Third Proportional to 354,527.25 and 758,888.50

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Solution

The third proportional to 354,527.25 and 758,888.50 is: 1,624,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,527.25 : 758,888.50 = 758,888.50 : x
  2. Step 2: Convert to fraction form
    354,527.25/758,888.50 = 758,888.50/x
  3. Step 3: Cross multiply
    354,527.25x = 758,888.50 × 758,888.50
  4. Step 4: Simplify right side
    354,527.25x = 575,911,755,432.25
  5. Step 5: Solve for x
    x = 575,911,755,432.25/354,527.25
  6. Step 6: Final answer
    x = 1,624,449.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.