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Finding the Third Proportional to 357,655.50 and 501,288.75

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Solution

The third proportional to 357,655.50 and 501,288.75 is: 702,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,655.50 : 501,288.75 = 501,288.75 : x
  2. Step 2: Convert to fraction form
    357,655.50/501,288.75 = 501,288.75/x
  3. Step 3: Cross multiply
    357,655.50x = 501,288.75 × 501,288.75
  4. Step 4: Simplify right side
    357,655.50x = 251,290,410,876.56
  5. Step 5: Solve for x
    x = 251,290,410,876.56/357,655.50
  6. Step 6: Final answer
    x = 702,604.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.