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Finding the Third Proportional to 355,344 and 759,528

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Solution

The third proportional to 355,344 and 759,528 is: 1,623,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,344 : 759,528 = 759,528 : x
  2. Step 2: Convert to fraction form
    355,344/759,528 = 759,528/x
  3. Step 3: Cross multiply
    355,344x = 759,528 × 759,528
  4. Step 4: Simplify right side
    355,344x = 576,882,782,784
  5. Step 5: Solve for x
    x = 576,882,782,784/355,344
  6. Step 6: Final answer
    x = 1,623,448.78

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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.