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Finding the Third Proportional to 364,063.50 and 569,858.50

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Solution

The third proportional to 364,063.50 and 569,858.50 is: 891,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,063.50 : 569,858.50 = 569,858.50 : x
  2. Step 2: Convert to fraction form
    364,063.50/569,858.50 = 569,858.50/x
  3. Step 3: Cross multiply
    364,063.50x = 569,858.50 × 569,858.50
  4. Step 4: Simplify right side
    364,063.50x = 324,738,710,022.25
  5. Step 5: Solve for x
    x = 324,738,710,022.25/364,063.50
  6. Step 6: Final answer
    x = 891,983.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.