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Finding the Third Proportional to 445,506.75 and 590,748.19

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Solution

The third proportional to 445,506.75 and 590,748.19 is: 783,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,506.75 : 590,748.19 = 590,748.19 : x
  2. Step 2: Convert to fraction form
    445,506.75/590,748.19 = 590,748.19/x
  3. Step 3: Cross multiply
    445,506.75x = 590,748.19 × 590,748.19
  4. Step 4: Simplify right side
    445,506.75x = 348,983,421,034.54
  5. Step 5: Solve for x
    x = 348,983,421,034.54/445,506.75
  6. Step 6: Final answer
    x = 783,340.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.