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Finding the Third Proportional to 481,441.50 and 745,090

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Solution

The third proportional to 481,441.50 and 745,090 is: 1,153,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,441.50 : 745,090 = 745,090 : x
  2. Step 2: Convert to fraction form
    481,441.50/745,090 = 745,090/x
  3. Step 3: Cross multiply
    481,441.50x = 745,090 × 745,090
  4. Step 4: Simplify right side
    481,441.50x = 555,159,108,100
  5. Step 5: Solve for x
    x = 555,159,108,100/481,441.50
  6. Step 6: Final answer
    x = 1,153,118.52

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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.