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Finding the Third Proportional to 481,632 and 750,024

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Solution

The third proportional to 481,632 and 750,024 is: 1,167,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,632 : 750,024 = 750,024 : x
  2. Step 2: Convert to fraction form
    481,632/750,024 = 750,024/x
  3. Step 3: Cross multiply
    481,632x = 750,024 × 750,024
  4. Step 4: Simplify right side
    481,632x = 562,536,000,576
  5. Step 5: Solve for x
    x = 562,536,000,576/481,632
  6. Step 6: Final answer
    x = 1,167,978.87

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Why These Related Problems?

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