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Finding the Third Proportional to 524,056 and 831,156

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Solution

The third proportional to 524,056 and 831,156 is: 1,318,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,056 : 831,156 = 831,156 : x
  2. Step 2: Convert to fraction form
    524,056/831,156 = 831,156/x
  3. Step 3: Cross multiply
    524,056x = 831,156 × 831,156
  4. Step 4: Simplify right side
    524,056x = 690,820,296,336
  5. Step 5: Solve for x
    x = 690,820,296,336/524,056
  6. Step 6: Final answer
    x = 1,318,218.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.