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Finding the Third Proportional to 338,000 and 719,048

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Solution

The third proportional to 338,000 and 719,048 is: 1,529,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,000 : 719,048 = 719,048 : x
  2. Step 2: Convert to fraction form
    338,000/719,048 = 719,048/x
  3. Step 3: Cross multiply
    338,000x = 719,048 × 719,048
  4. Step 4: Simplify right side
    338,000x = 517,030,026,304
  5. Step 5: Solve for x
    x = 517,030,026,304/338,000
  6. Step 6: Final answer
    x = 1,529,674.63

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