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Finding the Third Proportional to 483,543 and 745,611.75

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Solution

The third proportional to 483,543 and 745,611.75 is: 1,149,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,543 : 745,611.75 = 745,611.75 : x
  2. Step 2: Convert to fraction form
    483,543/745,611.75 = 745,611.75/x
  3. Step 3: Cross multiply
    483,543x = 745,611.75 × 745,611.75
  4. Step 4: Simplify right side
    483,543x = 555,936,881,738.06
  5. Step 5: Solve for x
    x = 555,936,881,738.06/483,543
  6. Step 6: Final answer
    x = 1,149,715.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.