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Finding the Third Proportional to 343,460 and 746,064

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Solution

The third proportional to 343,460 and 746,064 is: 1,620,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,460 : 746,064 = 746,064 : x
  2. Step 2: Convert to fraction form
    343,460/746,064 = 746,064/x
  3. Step 3: Cross multiply
    343,460x = 746,064 × 746,064
  4. Step 4: Simplify right side
    343,460x = 556,611,492,096
  5. Step 5: Solve for x
    x = 556,611,492,096/343,460
  6. Step 6: Final answer
    x = 1,620,600.63

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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.