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Finding the Third Proportional to 365,807 and 798,646

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Solution

The third proportional to 365,807 and 798,646 is: 1,743,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,807 : 798,646 = 798,646 : x
  2. Step 2: Convert to fraction form
    365,807/798,646 = 798,646/x
  3. Step 3: Cross multiply
    365,807x = 798,646 × 798,646
  4. Step 4: Simplify right side
    365,807x = 637,835,433,316
  5. Step 5: Solve for x
    x = 637,835,433,316/365,807
  6. Step 6: Final answer
    x = 1,743,639.22

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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.