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Finding the Third Proportional to 598,357.50 and 1,296,406.50

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Solution

The third proportional to 598,357.50 and 1,296,406.50 is: 2,808,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,357.50 : 1,296,406.50 = 1,296,406.50 : x
  2. Step 2: Convert to fraction form
    598,357.50/1,296,406.50 = 1,296,406.50/x
  3. Step 3: Cross multiply
    598,357.50x = 1,296,406.50 × 1,296,406.50
  4. Step 4: Simplify right side
    598,357.50x = 1,680,669,813,242.25
  5. Step 5: Solve for x
    x = 1,680,669,813,242.25/598,357.50
  6. Step 6: Final answer
    x = 2,808,805.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.