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Finding the Third Proportional to 321,119 and 500,058.50

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Solution

The third proportional to 321,119 and 500,058.50 is: 778,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,119 : 500,058.50 = 500,058.50 : x
  2. Step 2: Convert to fraction form
    321,119/500,058.50 = 500,058.50/x
  3. Step 3: Cross multiply
    321,119x = 500,058.50 × 500,058.50
  4. Step 4: Simplify right side
    321,119x = 250,058,503,422.25
  5. Step 5: Solve for x
    x = 250,058,503,422.25/321,119
  6. Step 6: Final answer
    x = 778,709.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.