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Finding the Third Proportional to 524,182 and 831,310

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Solution

The third proportional to 524,182 and 831,310 is: 1,318,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,182 : 831,310 = 831,310 : x
  2. Step 2: Convert to fraction form
    524,182/831,310 = 831,310/x
  3. Step 3: Cross multiply
    524,182x = 831,310 × 831,310
  4. Step 4: Simplify right side
    524,182x = 691,076,316,100
  5. Step 5: Solve for x
    x = 691,076,316,100/524,182
  6. Step 6: Final answer
    x = 1,318,390.02

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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.