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Finding the Third Proportional to 331,811.50 and 510,702.50

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Solution

The third proportional to 331,811.50 and 510,702.50 is: 786,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,811.50 : 510,702.50 = 510,702.50 : x
  2. Step 2: Convert to fraction form
    331,811.50/510,702.50 = 510,702.50/x
  3. Step 3: Cross multiply
    331,811.50x = 510,702.50 × 510,702.50
  4. Step 4: Simplify right side
    331,811.50x = 260,817,043,506.25
  5. Step 5: Solve for x
    x = 260,817,043,506.25/331,811.50
  6. Step 6: Final answer
    x = 786,039.80

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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.