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Finding the Third Proportional to 360,558.84 and 535,279.64

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Solution

The third proportional to 360,558.84 and 535,279.64 is: 794,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,558.84 : 535,279.64 = 535,279.64 : x
  2. Step 2: Convert to fraction form
    360,558.84/535,279.64 = 535,279.64/x
  3. Step 3: Cross multiply
    360,558.84x = 535,279.64 × 535,279.64
  4. Step 4: Simplify right side
    360,558.84x = 286,524,293,667.63
  5. Step 5: Solve for x
    x = 286,524,293,667.63/360,558.84
  6. Step 6: Final answer
    x = 794,667.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.