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Finding the Third Proportional to 524,058 and 831,159

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Solution

The third proportional to 524,058 and 831,159 is: 1,318,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,058 : 831,159 = 831,159 : x
  2. Step 2: Convert to fraction form
    524,058/831,159 = 831,159/x
  3. Step 3: Cross multiply
    524,058x = 831,159 × 831,159
  4. Step 4: Simplify right side
    524,058x = 690,825,283,281
  5. Step 5: Solve for x
    x = 690,825,283,281/524,058
  6. Step 6: Final answer
    x = 1,318,222.95

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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.