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Finding the Third Proportional to 355,350 and 759,540

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Solution

The third proportional to 355,350 and 759,540 is: 1,623,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,350 : 759,540 = 759,540 : x
  2. Step 2: Convert to fraction form
    355,350/759,540 = 759,540/x
  3. Step 3: Cross multiply
    355,350x = 759,540 × 759,540
  4. Step 4: Simplify right side
    355,350x = 576,901,011,600
  5. Step 5: Solve for x
    x = 576,901,011,600/355,350
  6. Step 6: Final answer
    x = 1,623,472.67

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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.