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Finding the Third Proportional to 315,041 and 691,323

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Solution

The third proportional to 315,041 and 691,323 is: 1,517,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,041 : 691,323 = 691,323 : x
  2. Step 2: Convert to fraction form
    315,041/691,323 = 691,323/x
  3. Step 3: Cross multiply
    315,041x = 691,323 × 691,323
  4. Step 4: Simplify right side
    315,041x = 477,927,490,329
  5. Step 5: Solve for x
    x = 477,927,490,329/315,041
  6. Step 6: Final answer
    x = 1,517,032.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.