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Finding the Third Proportional to 365,390 and 797,180

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Solution

The third proportional to 365,390 and 797,180 is: 1,739,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,390 : 797,180 = 797,180 : x
  2. Step 2: Convert to fraction form
    365,390/797,180 = 797,180/x
  3. Step 3: Cross multiply
    365,390x = 797,180 × 797,180
  4. Step 4: Simplify right side
    365,390x = 635,495,952,400
  5. Step 5: Solve for x
    x = 635,495,952,400/365,390
  6. Step 6: Final answer
    x = 1,739,226.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.