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Finding the Third Proportional to 523,114.13 and 740,409.75

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Solution

The third proportional to 523,114.13 and 740,409.75 is: 1,047,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,114.13 : 740,409.75 = 740,409.75 : x
  2. Step 2: Convert to fraction form
    523,114.13/740,409.75 = 740,409.75/x
  3. Step 3: Cross multiply
    523,114.13x = 740,409.75 × 740,409.75
  4. Step 4: Simplify right side
    523,114.13x = 548,206,597,895.06
  5. Step 5: Solve for x
    x = 548,206,597,895.06/523,114.13
  6. Step 6: Final answer
    x = 1,047,967.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.