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Finding the Third Proportional to 368,375 and 805,230

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Solution

The third proportional to 368,375 and 805,230 is: 1,760,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,375 : 805,230 = 805,230 : x
  2. Step 2: Convert to fraction form
    368,375/805,230 = 805,230/x
  3. Step 3: Cross multiply
    368,375x = 805,230 × 805,230
  4. Step 4: Simplify right side
    368,375x = 648,395,352,900
  5. Step 5: Solve for x
    x = 648,395,352,900/368,375
  6. Step 6: Final answer
    x = 1,760,150.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.