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Finding the Third Proportional to 481,704 and 750,129

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Solution

The third proportional to 481,704 and 750,129 is: 1,168,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,704 : 750,129 = 750,129 : x
  2. Step 2: Convert to fraction form
    481,704/750,129 = 750,129/x
  3. Step 3: Cross multiply
    481,704x = 750,129 × 750,129
  4. Step 4: Simplify right side
    481,704x = 562,693,516,641
  5. Step 5: Solve for x
    x = 562,693,516,641/481,704
  6. Step 6: Final answer
    x = 1,168,131.29

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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.