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Finding the Third Proportional to 355,536 and 587,232

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Solution

The third proportional to 355,536 and 587,232 is: 969,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,536 : 587,232 = 587,232 : x
  2. Step 2: Convert to fraction form
    355,536/587,232 = 587,232/x
  3. Step 3: Cross multiply
    355,536x = 587,232 × 587,232
  4. Step 4: Simplify right side
    355,536x = 344,841,421,824
  5. Step 5: Solve for x
    x = 344,841,421,824/355,536
  6. Step 6: Final answer
    x = 969,919.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.