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Finding the Third Proportional to 355,172 and 755,548

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Solution

The third proportional to 355,172 and 755,548 is: 1,607,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,172 : 755,548 = 755,548 : x
  2. Step 2: Convert to fraction form
    355,172/755,548 = 755,548/x
  3. Step 3: Cross multiply
    355,172x = 755,548 × 755,548
  4. Step 4: Simplify right side
    355,172x = 570,852,780,304
  5. Step 5: Solve for x
    x = 570,852,780,304/355,172
  6. Step 6: Final answer
    x = 1,607,257.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.