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Finding the Third Proportional to 481,460.25 and 745,101

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Solution

The third proportional to 481,460.25 and 745,101 is: 1,153,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,460.25 : 745,101 = 745,101 : x
  2. Step 2: Convert to fraction form
    481,460.25/745,101 = 745,101/x
  3. Step 3: Cross multiply
    481,460.25x = 745,101 × 745,101
  4. Step 4: Simplify right side
    481,460.25x = 555,175,500,201
  5. Step 5: Solve for x
    x = 555,175,500,201/481,460.25
  6. Step 6: Final answer
    x = 1,153,107.66

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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.