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Finding the Third Proportional to 301,315 and 648,755.50

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Solution

The third proportional to 301,315 and 648,755.50 is: 1,396,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,315 : 648,755.50 = 648,755.50 : x
  2. Step 2: Convert to fraction form
    301,315/648,755.50 = 648,755.50/x
  3. Step 3: Cross multiply
    301,315x = 648,755.50 × 648,755.50
  4. Step 4: Simplify right side
    301,315x = 420,883,698,780.25
  5. Step 5: Solve for x
    x = 420,883,698,780.25/301,315
  6. Step 6: Final answer
    x = 1,396,822.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.