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Finding the Third Proportional to 481,632 and 750,022

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Solution

The third proportional to 481,632 and 750,022 is: 1,167,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,632 : 750,022 = 750,022 : x
  2. Step 2: Convert to fraction form
    481,632/750,022 = 750,022/x
  3. Step 3: Cross multiply
    481,632x = 750,022 × 750,022
  4. Step 4: Simplify right side
    481,632x = 562,533,000,484
  5. Step 5: Solve for x
    x = 562,533,000,484/481,632
  6. Step 6: Final answer
    x = 1,167,972.64

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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.