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Finding the Third Proportional to 369,253 and 795,003

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Solution

The third proportional to 369,253 and 795,003 is: 1,711,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,253 : 795,003 = 795,003 : x
  2. Step 2: Convert to fraction form
    369,253/795,003 = 795,003/x
  3. Step 3: Cross multiply
    369,253x = 795,003 × 795,003
  4. Step 4: Simplify right side
    369,253x = 632,029,770,009
  5. Step 5: Solve for x
    x = 632,029,770,009/369,253
  6. Step 6: Final answer
    x = 1,711,644.24

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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.