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Finding the Third Proportional to 463,906.50 and 988,563

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Solution

The third proportional to 463,906.50 and 988,563 is: 2,106,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,906.50 : 988,563 = 988,563 : x
  2. Step 2: Convert to fraction form
    463,906.50/988,563 = 988,563/x
  3. Step 3: Cross multiply
    463,906.50x = 988,563 × 988,563
  4. Step 4: Simplify right side
    463,906.50x = 977,256,804,969
  5. Step 5: Solve for x
    x = 977,256,804,969/463,906.50
  6. Step 6: Final answer
    x = 2,106,581.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.