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Finding the Third Proportional to 466,285.50 and 708,540.75

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Solution

The third proportional to 466,285.50 and 708,540.75 is: 1,076,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,285.50 : 708,540.75 = 708,540.75 : x
  2. Step 2: Convert to fraction form
    466,285.50/708,540.75 = 708,540.75/x
  3. Step 3: Cross multiply
    466,285.50x = 708,540.75 × 708,540.75
  4. Step 4: Simplify right side
    466,285.50x = 502,029,994,410.56
  5. Step 5: Solve for x
    x = 502,029,994,410.56/466,285.50
  6. Step 6: Final answer
    x = 1,076,657.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.