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Finding the Third Proportional to 355,644 and 770,310

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Solution

The third proportional to 355,644 and 770,310 is: 1,668,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,644 : 770,310 = 770,310 : x
  2. Step 2: Convert to fraction form
    355,644/770,310 = 770,310/x
  3. Step 3: Cross multiply
    355,644x = 770,310 × 770,310
  4. Step 4: Simplify right side
    355,644x = 593,377,496,100
  5. Step 5: Solve for x
    x = 593,377,496,100/355,644
  6. Step 6: Final answer
    x = 1,668,459.18

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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.