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Finding the Third Proportional to 627,684 and 805,926

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Solution

The third proportional to 627,684 and 805,926 is: 1,034,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,684 : 805,926 = 805,926 : x
  2. Step 2: Convert to fraction form
    627,684/805,926 = 805,926/x
  3. Step 3: Cross multiply
    627,684x = 805,926 × 805,926
  4. Step 4: Simplify right side
    627,684x = 649,516,717,476
  5. Step 5: Solve for x
    x = 649,516,717,476/627,684
  6. Step 6: Final answer
    x = 1,034,782.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.