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Finding the Third Proportional to 623,014.50 and 976,041

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Solution

The third proportional to 623,014.50 and 976,041 is: 1,529,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,014.50 : 976,041 = 976,041 : x
  2. Step 2: Convert to fraction form
    623,014.50/976,041 = 976,041/x
  3. Step 3: Cross multiply
    623,014.50x = 976,041 × 976,041
  4. Step 4: Simplify right side
    623,014.50x = 952,656,033,681
  5. Step 5: Solve for x
    x = 952,656,033,681/623,014.50
  6. Step 6: Final answer
    x = 1,529,107.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.