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Finding the Third Proportional to 481,444 and 745,071

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Solution

The third proportional to 481,444 and 745,071 is: 1,153,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,444 : 745,071 = 745,071 : x
  2. Step 2: Convert to fraction form
    481,444/745,071 = 745,071/x
  3. Step 3: Cross multiply
    481,444x = 745,071 × 745,071
  4. Step 4: Simplify right side
    481,444x = 555,130,795,041
  5. Step 5: Solve for x
    x = 555,130,795,041/481,444
  6. Step 6: Final answer
    x = 1,153,053.72

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Why These Related Problems?

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