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Finding the Third Proportional to 369,412 and 795,328

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Solution

The third proportional to 369,412 and 795,328 is: 1,712,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,412 : 795,328 = 795,328 : x
  2. Step 2: Convert to fraction form
    369,412/795,328 = 795,328/x
  3. Step 3: Cross multiply
    369,412x = 795,328 × 795,328
  4. Step 4: Simplify right side
    369,412x = 632,546,627,584
  5. Step 5: Solve for x
    x = 632,546,627,584/369,412
  6. Step 6: Final answer
    x = 1,712,306.66

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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.