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Finding the Third Proportional to 331,219.13 and 525,315.38

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Solution

The third proportional to 331,219.13 and 525,315.38 is: 833,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,219.13 : 525,315.38 = 525,315.38 : x
  2. Step 2: Convert to fraction form
    331,219.13/525,315.38 = 525,315.38/x
  3. Step 3: Cross multiply
    331,219.13x = 525,315.38 × 525,315.38
  4. Step 4: Simplify right side
    331,219.13x = 275,956,243,211.39
  5. Step 5: Solve for x
    x = 275,956,243,211.39/331,219.13
  6. Step 6: Final answer
    x = 833,153.11

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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.