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Finding the Third Proportional to 368,534 and 793,744

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Solution

The third proportional to 368,534 and 793,744 is: 1,709,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,534 : 793,744 = 793,744 : x
  2. Step 2: Convert to fraction form
    368,534/793,744 = 793,744/x
  3. Step 3: Cross multiply
    368,534x = 793,744 × 793,744
  4. Step 4: Simplify right side
    368,534x = 630,029,537,536
  5. Step 5: Solve for x
    x = 630,029,537,536/368,534
  6. Step 6: Final answer
    x = 1,709,556.07

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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.