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Finding the Third Proportional to 355,341 and 759,522

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Solution

The third proportional to 355,341 and 759,522 is: 1,623,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,341 : 759,522 = 759,522 : x
  2. Step 2: Convert to fraction form
    355,341/759,522 = 759,522/x
  3. Step 3: Cross multiply
    355,341x = 759,522 × 759,522
  4. Step 4: Simplify right side
    355,341x = 576,873,668,484
  5. Step 5: Solve for x
    x = 576,873,668,484/355,341
  6. Step 6: Final answer
    x = 1,623,436.84

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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.