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Finding the Third Proportional to 357,519 and 739,784

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Solution

The third proportional to 357,519 and 739,784 is: 1,530,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,519 : 739,784 = 739,784 : x
  2. Step 2: Convert to fraction form
    357,519/739,784 = 739,784/x
  3. Step 3: Cross multiply
    357,519x = 739,784 × 739,784
  4. Step 4: Simplify right side
    357,519x = 547,280,366,656
  5. Step 5: Solve for x
    x = 547,280,366,656/357,519
  6. Step 6: Final answer
    x = 1,530,772.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.