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Finding the Third Proportional to 340,560 and 740,064

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Solution

The third proportional to 340,560 and 740,064 is: 1,608,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,560 : 740,064 = 740,064 : x
  2. Step 2: Convert to fraction form
    340,560/740,064 = 740,064/x
  3. Step 3: Cross multiply
    340,560x = 740,064 × 740,064
  4. Step 4: Simplify right side
    340,560x = 547,694,724,096
  5. Step 5: Solve for x
    x = 547,694,724,096/340,560
  6. Step 6: Final answer
    x = 1,608,218.01

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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.