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Finding the Third Proportional to 385,926 and 827,232

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Solution

The third proportional to 385,926 and 827,232 is: 1,773,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,926 : 827,232 = 827,232 : x
  2. Step 2: Convert to fraction form
    385,926/827,232 = 827,232/x
  3. Step 3: Cross multiply
    385,926x = 827,232 × 827,232
  4. Step 4: Simplify right side
    385,926x = 684,312,781,824
  5. Step 5: Solve for x
    x = 684,312,781,824/385,926
  6. Step 6: Final answer
    x = 1,773,170.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.