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Finding the Third Proportional to 357,151.50 and 539,376.75

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Solution

The third proportional to 357,151.50 and 539,376.75 is: 814,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,151.50 : 539,376.75 = 539,376.75 : x
  2. Step 2: Convert to fraction form
    357,151.50/539,376.75 = 539,376.75/x
  3. Step 3: Cross multiply
    357,151.50x = 539,376.75 × 539,376.75
  4. Step 4: Simplify right side
    357,151.50x = 290,927,278,440.56
  5. Step 5: Solve for x
    x = 290,927,278,440.56/357,151.50
  6. Step 6: Final answer
    x = 814,576.67

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Why These Related Problems?

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