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Finding the Third Proportional to 463,406 and 716,390

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Solution

The third proportional to 463,406 and 716,390 is: 1,107,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,406 : 716,390 = 716,390 : x
  2. Step 2: Convert to fraction form
    463,406/716,390 = 716,390/x
  3. Step 3: Cross multiply
    463,406x = 716,390 × 716,390
  4. Step 4: Simplify right side
    463,406x = 513,214,632,100
  5. Step 5: Solve for x
    x = 513,214,632,100/463,406
  6. Step 6: Final answer
    x = 1,107,483.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.