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Finding the Third Proportional to 334,048 and 684,494

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Solution

The third proportional to 334,048 and 684,494 is: 1,402,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,048 : 684,494 = 684,494 : x
  2. Step 2: Convert to fraction form
    334,048/684,494 = 684,494/x
  3. Step 3: Cross multiply
    334,048x = 684,494 × 684,494
  4. Step 4: Simplify right side
    334,048x = 468,532,036,036
  5. Step 5: Solve for x
    x = 468,532,036,036/334,048
  6. Step 6: Final answer
    x = 1,402,588.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.