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Finding the Third Proportional to 343,447 and 746,004

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Solution

The third proportional to 343,447 and 746,004 is: 1,620,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,447 : 746,004 = 746,004 : x
  2. Step 2: Convert to fraction form
    343,447/746,004 = 746,004/x
  3. Step 3: Cross multiply
    343,447x = 746,004 × 746,004
  4. Step 4: Simplify right side
    343,447x = 556,521,968,016
  5. Step 5: Solve for x
    x = 556,521,968,016/343,447
  6. Step 6: Final answer
    x = 1,620,401.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.