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Finding the Third Proportional to 448,955 and 673,412

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Solution

The third proportional to 448,955 and 673,412 is: 1,010,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,955 : 673,412 = 673,412 : x
  2. Step 2: Convert to fraction form
    448,955/673,412 = 673,412/x
  3. Step 3: Cross multiply
    448,955x = 673,412 × 673,412
  4. Step 4: Simplify right side
    448,955x = 453,483,721,744
  5. Step 5: Solve for x
    x = 453,483,721,744/448,955
  6. Step 6: Final answer
    x = 1,010,087.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.