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Finding the Third Proportional to 355,352 and 759,544

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Solution

The third proportional to 355,352 and 759,544 is: 1,623,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,352 : 759,544 = 759,544 : x
  2. Step 2: Convert to fraction form
    355,352/759,544 = 759,544/x
  3. Step 3: Cross multiply
    355,352x = 759,544 × 759,544
  4. Step 4: Simplify right side
    355,352x = 576,907,087,936
  5. Step 5: Solve for x
    x = 576,907,087,936/355,352
  6. Step 6: Final answer
    x = 1,623,480.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.