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Finding the Third Proportional to 355,526 and 768,188

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Solution

The third proportional to 355,526 and 768,188 is: 1,659,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,526 : 768,188 = 768,188 : x
  2. Step 2: Convert to fraction form
    355,526/768,188 = 768,188/x
  3. Step 3: Cross multiply
    355,526x = 768,188 × 768,188
  4. Step 4: Simplify right side
    355,526x = 590,112,803,344
  5. Step 5: Solve for x
    x = 590,112,803,344/355,526
  6. Step 6: Final answer
    x = 1,659,830.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.