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Finding the Third Proportional to 524,186 and 831,316

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Solution

The third proportional to 524,186 and 831,316 is: 1,318,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,186 : 831,316 = 831,316 : x
  2. Step 2: Convert to fraction form
    524,186/831,316 = 831,316/x
  3. Step 3: Cross multiply
    524,186x = 831,316 × 831,316
  4. Step 4: Simplify right side
    524,186x = 691,086,291,856
  5. Step 5: Solve for x
    x = 691,086,291,856/524,186
  6. Step 6: Final answer
    x = 1,318,398.99

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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.