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Finding the Third Proportional to 369,216 and 794,592

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Solution

The third proportional to 369,216 and 794,592 is: 1,710,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,216 : 794,592 = 794,592 : x
  2. Step 2: Convert to fraction form
    369,216/794,592 = 794,592/x
  3. Step 3: Cross multiply
    369,216x = 794,592 × 794,592
  4. Step 4: Simplify right side
    369,216x = 631,376,446,464
  5. Step 5: Solve for x
    x = 631,376,446,464/369,216
  6. Step 6: Final answer
    x = 1,710,046.28

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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.