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Finding the Third Proportional to 385,634 and 833,656

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Solution

The third proportional to 385,634 and 833,656 is: 1,802,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,634 : 833,656 = 833,656 : x
  2. Step 2: Convert to fraction form
    385,634/833,656 = 833,656/x
  3. Step 3: Cross multiply
    385,634x = 833,656 × 833,656
  4. Step 4: Simplify right side
    385,634x = 694,982,326,336
  5. Step 5: Solve for x
    x = 694,982,326,336/385,634
  6. Step 6: Final answer
    x = 1,802,181.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.