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Finding the Third Proportional to 357,620.06 and 536,437.69

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Solution

The third proportional to 357,620.06 and 536,437.69 is: 804,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,620.06 : 536,437.69 = 536,437.69 : x
  2. Step 2: Convert to fraction form
    357,620.06/536,437.69 = 536,437.69/x
  3. Step 3: Cross multiply
    357,620.06x = 536,437.69 × 536,437.69
  4. Step 4: Simplify right side
    357,620.06x = 287,765,392,570.35
  5. Step 5: Solve for x
    x = 287,765,392,570.35/357,620.06
  6. Step 6: Final answer
    x = 804,667.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.