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Finding the Third Proportional to 525,024 and 814,482.75

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Solution

The third proportional to 525,024 and 814,482.75 is: 1,263,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,024 : 814,482.75 = 814,482.75 : x
  2. Step 2: Convert to fraction form
    525,024/814,482.75 = 814,482.75/x
  3. Step 3: Cross multiply
    525,024x = 814,482.75 × 814,482.75
  4. Step 4: Simplify right side
    525,024x = 663,382,150,047.56
  5. Step 5: Solve for x
    x = 663,382,150,047.56/525,024
  6. Step 6: Final answer
    x = 1,263,527.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.