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Finding the Third Proportional to 355,358 and 769,765

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Solution

The third proportional to 355,358 and 769,765 is: 1,667,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,358 : 769,765 = 769,765 : x
  2. Step 2: Convert to fraction form
    355,358/769,765 = 769,765/x
  3. Step 3: Cross multiply
    355,358x = 769,765 × 769,765
  4. Step 4: Simplify right side
    355,358x = 592,538,155,225
  5. Step 5: Solve for x
    x = 592,538,155,225/355,358
  6. Step 6: Final answer
    x = 1,667,440.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.