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Finding the Third Proportional to 357,299.50 and 568,749.50

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Solution

The third proportional to 357,299.50 and 568,749.50 is: 905,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,299.50 : 568,749.50 = 568,749.50 : x
  2. Step 2: Convert to fraction form
    357,299.50/568,749.50 = 568,749.50/x
  3. Step 3: Cross multiply
    357,299.50x = 568,749.50 × 568,749.50
  4. Step 4: Simplify right side
    357,299.50x = 323,475,993,750.25
  5. Step 5: Solve for x
    x = 323,475,993,750.25/357,299.50
  6. Step 6: Final answer
    x = 905,335.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.