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Finding the Third Proportional to 374,299 and 795,319

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Solution

The third proportional to 374,299 and 795,319 is: 1,689,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,299 : 795,319 = 795,319 : x
  2. Step 2: Convert to fraction form
    374,299/795,319 = 795,319/x
  3. Step 3: Cross multiply
    374,299x = 795,319 × 795,319
  4. Step 4: Simplify right side
    374,299x = 632,532,311,761
  5. Step 5: Solve for x
    x = 632,532,311,761/374,299
  6. Step 6: Final answer
    x = 1,689,911.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.