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Finding the Third Proportional to 365,082 and 798,984

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Solution

The third proportional to 365,082 and 798,984 is: 1,748,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,082 : 798,984 = 798,984 : x
  2. Step 2: Convert to fraction form
    365,082/798,984 = 798,984/x
  3. Step 3: Cross multiply
    365,082x = 798,984 × 798,984
  4. Step 4: Simplify right side
    365,082x = 638,375,432,256
  5. Step 5: Solve for x
    x = 638,375,432,256/365,082
  6. Step 6: Final answer
    x = 1,748,580.96

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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.