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Finding the Third Proportional to 355,702.50 and 839,657.25

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Solution

The third proportional to 355,702.50 and 839,657.25 is: 1,982,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,702.50 : 839,657.25 = 839,657.25 : x
  2. Step 2: Convert to fraction form
    355,702.50/839,657.25 = 839,657.25/x
  3. Step 3: Cross multiply
    355,702.50x = 839,657.25 × 839,657.25
  4. Step 4: Simplify right side
    355,702.50x = 705,024,297,477.56
  5. Step 5: Solve for x
    x = 705,024,297,477.56/355,702.50
  6. Step 6: Final answer
    x = 1,982,061.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.