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Finding the Third Proportional to 355,536 and 725,376

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Solution

The third proportional to 355,536 and 725,376 is: 1,479,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,536 : 725,376 = 725,376 : x
  2. Step 2: Convert to fraction form
    355,536/725,376 = 725,376/x
  3. Step 3: Cross multiply
    355,536x = 725,376 × 725,376
  4. Step 4: Simplify right side
    355,536x = 526,170,341,376
  5. Step 5: Solve for x
    x = 526,170,341,376/355,536
  6. Step 6: Final answer
    x = 1,479,935.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.