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Finding the Third Proportional to 599,475 and 1,254,371.25

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Solution

The third proportional to 599,475 and 1,254,371.25 is: 2,624,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,475 : 1,254,371.25 = 1,254,371.25 : x
  2. Step 2: Convert to fraction form
    599,475/1,254,371.25 = 1,254,371.25/x
  3. Step 3: Cross multiply
    599,475x = 1,254,371.25 × 1,254,371.25
  4. Step 4: Simplify right side
    599,475x = 1,573,447,232,826.56
  5. Step 5: Solve for x
    x = 1,573,447,232,826.56/599,475
  6. Step 6: Final answer
    x = 2,624,708.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.