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Finding the Third Proportional to 385,576 and 817,806

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Solution

The third proportional to 385,576 and 817,806 is: 1,734,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,576 : 817,806 = 817,806 : x
  2. Step 2: Convert to fraction form
    385,576/817,806 = 817,806/x
  3. Step 3: Cross multiply
    385,576x = 817,806 × 817,806
  4. Step 4: Simplify right side
    385,576x = 668,806,653,636
  5. Step 5: Solve for x
    x = 668,806,653,636/385,576
  6. Step 6: Final answer
    x = 1,734,565.05

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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.