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Finding the Third Proportional to 393,907.50 and 600,702.75

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Solution

The third proportional to 393,907.50 and 600,702.75 is: 916,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,907.50 : 600,702.75 = 600,702.75 : x
  2. Step 2: Convert to fraction form
    393,907.50/600,702.75 = 600,702.75/x
  3. Step 3: Cross multiply
    393,907.50x = 600,702.75 × 600,702.75
  4. Step 4: Simplify right side
    393,907.50x = 360,843,793,857.56
  5. Step 5: Solve for x
    x = 360,843,793,857.56/393,907.50
  6. Step 6: Final answer
    x = 916,062.26

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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.