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Finding the Third Proportional to 369,853.50 and 795,892.50

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Solution

The third proportional to 369,853.50 and 795,892.50 is: 1,712,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,853.50 : 795,892.50 = 795,892.50 : x
  2. Step 2: Convert to fraction form
    369,853.50/795,892.50 = 795,892.50/x
  3. Step 3: Cross multiply
    369,853.50x = 795,892.50 × 795,892.50
  4. Step 4: Simplify right side
    369,853.50x = 633,444,871,556.25
  5. Step 5: Solve for x
    x = 633,444,871,556.25/369,853.50
  6. Step 6: Final answer
    x = 1,712,691.30

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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.