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Finding the Third Proportional to 524,184 and 831,313

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Solution

The third proportional to 524,184 and 831,313 is: 1,318,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,184 : 831,313 = 831,313 : x
  2. Step 2: Convert to fraction form
    524,184/831,313 = 831,313/x
  3. Step 3: Cross multiply
    524,184x = 831,313 × 831,313
  4. Step 4: Simplify right side
    524,184x = 691,081,303,969
  5. Step 5: Solve for x
    x = 691,081,303,969/524,184
  6. Step 6: Final answer
    x = 1,318,394.50

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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.