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Finding the Third Proportional to 314,691 and 673,878

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Solution

The third proportional to 314,691 and 673,878 is: 1,443,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,691 : 673,878 = 673,878 : x
  2. Step 2: Convert to fraction form
    314,691/673,878 = 673,878/x
  3. Step 3: Cross multiply
    314,691x = 673,878 × 673,878
  4. Step 4: Simplify right side
    314,691x = 454,111,558,884
  5. Step 5: Solve for x
    x = 454,111,558,884/314,691
  6. Step 6: Final answer
    x = 1,443,039.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.