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Finding the Third Proportional to 745,221.75 and 997,683.75

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Solution

The third proportional to 745,221.75 and 997,683.75 is: 1,335,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,221.75 : 997,683.75 = 997,683.75 : x
  2. Step 2: Convert to fraction form
    745,221.75/997,683.75 = 997,683.75/x
  3. Step 3: Cross multiply
    745,221.75x = 997,683.75 × 997,683.75
  4. Step 4: Simplify right side
    745,221.75x = 995,372,865,014.06
  5. Step 5: Solve for x
    x = 995,372,865,014.06/745,221.75
  6. Step 6: Final answer
    x = 1,335,673.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.