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Finding the Third Proportional to 353,548 and 768,569

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Solution

The third proportional to 353,548 and 768,569 is: 1,670,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,548 : 768,569 = 768,569 : x
  2. Step 2: Convert to fraction form
    353,548/768,569 = 768,569/x
  3. Step 3: Cross multiply
    353,548x = 768,569 × 768,569
  4. Step 4: Simplify right side
    353,548x = 590,698,307,761
  5. Step 5: Solve for x
    x = 590,698,307,761/353,548
  6. Step 6: Final answer
    x = 1,670,772.59

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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.