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Finding the Third Proportional to 400,269 and 623,368.50

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Solution

The third proportional to 400,269 and 623,368.50 is: 970,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,269 : 623,368.50 = 623,368.50 : x
  2. Step 2: Convert to fraction form
    400,269/623,368.50 = 623,368.50/x
  3. Step 3: Cross multiply
    400,269x = 623,368.50 × 623,368.50
  4. Step 4: Simplify right side
    400,269x = 388,588,286,792.25
  5. Step 5: Solve for x
    x = 388,588,286,792.25/400,269
  6. Step 6: Final answer
    x = 970,817.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.