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Finding the Third Proportional to 317,970 and 673,848

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Solution

The third proportional to 317,970 and 673,848 is: 1,428,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,970 : 673,848 = 673,848 : x
  2. Step 2: Convert to fraction form
    317,970/673,848 = 673,848/x
  3. Step 3: Cross multiply
    317,970x = 673,848 × 673,848
  4. Step 4: Simplify right side
    317,970x = 454,071,127,104
  5. Step 5: Solve for x
    x = 454,071,127,104/317,970
  6. Step 6: Final answer
    x = 1,428,031.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.