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Finding the Third Proportional to 314,676 and 483,961.50

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Solution

The third proportional to 314,676 and 483,961.50 is: 744,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,676 : 483,961.50 = 483,961.50 : x
  2. Step 2: Convert to fraction form
    314,676/483,961.50 = 483,961.50/x
  3. Step 3: Cross multiply
    314,676x = 483,961.50 × 483,961.50
  4. Step 4: Simplify right side
    314,676x = 234,218,733,482.25
  5. Step 5: Solve for x
    x = 234,218,733,482.25/314,676
  6. Step 6: Final answer
    x = 744,317.12

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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.