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Finding the Third Proportional to 369,440 and 795,380

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Solution

The third proportional to 369,440 and 795,380 is: 1,712,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,440 : 795,380 = 795,380 : x
  2. Step 2: Convert to fraction form
    369,440/795,380 = 795,380/x
  3. Step 3: Cross multiply
    369,440x = 795,380 × 795,380
  4. Step 4: Simplify right side
    369,440x = 632,629,344,400
  5. Step 5: Solve for x
    x = 632,629,344,400/369,440
  6. Step 6: Final answer
    x = 1,712,400.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.