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Finding the Third Proportional to 369,534.66 and 795,999.66

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Solution

The third proportional to 369,534.66 and 795,999.66 is: 1,714,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,534.66 : 795,999.66 = 795,999.66 : x
  2. Step 2: Convert to fraction form
    369,534.66/795,999.66 = 795,999.66/x
  3. Step 3: Cross multiply
    369,534.66x = 795,999.66 × 795,999.66
  4. Step 4: Simplify right side
    369,534.66x = 633,615,452,750.12
  5. Step 5: Solve for x
    x = 633,615,452,750.12/369,534.66
  6. Step 6: Final answer
    x = 1,714,630.66

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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.