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Finding the Third Proportional to 338,002 and 719,052

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Solution

The third proportional to 338,002 and 719,052 is: 1,529,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,002 : 719,052 = 719,052 : x
  2. Step 2: Convert to fraction form
    338,002/719,052 = 719,052/x
  3. Step 3: Cross multiply
    338,002x = 719,052 × 719,052
  4. Step 4: Simplify right side
    338,002x = 517,035,778,704
  5. Step 5: Solve for x
    x = 517,035,778,704/338,002
  6. Step 6: Final answer
    x = 1,529,682.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.