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Finding the Third Proportional to 245,796 and 390,834

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Solution

The third proportional to 245,796 and 390,834 is: 621,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,796 : 390,834 = 390,834 : x
  2. Step 2: Convert to fraction form
    245,796/390,834 = 390,834/x
  3. Step 3: Cross multiply
    245,796x = 390,834 × 390,834
  4. Step 4: Simplify right side
    245,796x = 152,751,215,556
  5. Step 5: Solve for x
    x = 152,751,215,556/245,796
  6. Step 6: Final answer
    x = 621,455.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.