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Finding the Third Proportional to 353,543 and 768,560

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Solution

The third proportional to 353,543 and 768,560 is: 1,670,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,543 : 768,560 = 768,560 : x
  2. Step 2: Convert to fraction form
    353,543/768,560 = 768,560/x
  3. Step 3: Cross multiply
    353,543x = 768,560 × 768,560
  4. Step 4: Simplify right side
    353,543x = 590,684,473,600
  5. Step 5: Solve for x
    x = 590,684,473,600/353,543
  6. Step 6: Final answer
    x = 1,670,757.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.