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Finding the Third Proportional to 245,871 and 379,723.50

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Solution

The third proportional to 245,871 and 379,723.50 is: 586,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,871 : 379,723.50 = 379,723.50 : x
  2. Step 2: Convert to fraction form
    245,871/379,723.50 = 379,723.50/x
  3. Step 3: Cross multiply
    245,871x = 379,723.50 × 379,723.50
  4. Step 4: Simplify right side
    245,871x = 144,189,936,452.25
  5. Step 5: Solve for x
    x = 144,189,936,452.25/245,871
  6. Step 6: Final answer
    x = 586,445.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.