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Finding the Third Proportional to 369,396 and 795,294

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Solution

The third proportional to 369,396 and 795,294 is: 1,712,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,396 : 795,294 = 795,294 : x
  2. Step 2: Convert to fraction form
    369,396/795,294 = 795,294/x
  3. Step 3: Cross multiply
    369,396x = 795,294 × 795,294
  4. Step 4: Simplify right side
    369,396x = 632,492,546,436
  5. Step 5: Solve for x
    x = 632,492,546,436/369,396
  6. Step 6: Final answer
    x = 1,712,234.42

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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.