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Finding the Third Proportional to 523,620 and 806,024

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Solution

The third proportional to 523,620 and 806,024 is: 1,240,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,620 : 806,024 = 806,024 : x
  2. Step 2: Convert to fraction form
    523,620/806,024 = 806,024/x
  3. Step 3: Cross multiply
    523,620x = 806,024 × 806,024
  4. Step 4: Simplify right side
    523,620x = 649,674,688,576
  5. Step 5: Solve for x
    x = 649,674,688,576/523,620
  6. Step 6: Final answer
    x = 1,240,736.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.