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Finding the Third Proportional to 316,794 and 689,358

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Solution

The third proportional to 316,794 and 689,358 is: 1,500,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,794 : 689,358 = 689,358 : x
  2. Step 2: Convert to fraction form
    316,794/689,358 = 689,358/x
  3. Step 3: Cross multiply
    316,794x = 689,358 × 689,358
  4. Step 4: Simplify right side
    316,794x = 475,214,452,164
  5. Step 5: Solve for x
    x = 475,214,452,164/316,794
  6. Step 6: Final answer
    x = 1,500,074.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.