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Finding the Third Proportional to 385,569 and 817,793

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Solution

The third proportional to 385,569 and 817,793 is: 1,734,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,569 : 817,793 = 817,793 : x
  2. Step 2: Convert to fraction form
    385,569/817,793 = 817,793/x
  3. Step 3: Cross multiply
    385,569x = 817,793 × 817,793
  4. Step 4: Simplify right side
    385,569x = 668,785,390,849
  5. Step 5: Solve for x
    x = 668,785,390,849/385,569
  6. Step 6: Final answer
    x = 1,734,541.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.