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Finding the Third Proportional to 552,916 and 831,486

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Solution

The third proportional to 552,916 and 831,486 is: 1,250,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,916 : 831,486 = 831,486 : x
  2. Step 2: Convert to fraction form
    552,916/831,486 = 831,486/x
  3. Step 3: Cross multiply
    552,916x = 831,486 × 831,486
  4. Step 4: Simplify right side
    552,916x = 691,368,968,196
  5. Step 5: Solve for x
    x = 691,368,968,196/552,916
  6. Step 6: Final answer
    x = 1,250,405.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.