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Finding the Third Proportional to 463,884 and 716,778

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Solution

The third proportional to 463,884 and 716,778 is: 1,107,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,884 : 716,778 = 716,778 : x
  2. Step 2: Convert to fraction form
    463,884/716,778 = 716,778/x
  3. Step 3: Cross multiply
    463,884x = 716,778 × 716,778
  4. Step 4: Simplify right side
    463,884x = 513,770,701,284
  5. Step 5: Solve for x
    x = 513,770,701,284/463,884
  6. Step 6: Final answer
    x = 1,107,541.33

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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.