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Finding the Third Proportional to 445,513 and 590,755

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Solution

The third proportional to 445,513 and 590,755 is: 783,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,513 : 590,755 = 590,755 : x
  2. Step 2: Convert to fraction form
    445,513/590,755 = 590,755/x
  3. Step 3: Cross multiply
    445,513x = 590,755 × 590,755
  4. Step 4: Simplify right side
    445,513x = 348,991,470,025
  5. Step 5: Solve for x
    x = 348,991,470,025/445,513
  6. Step 6: Final answer
    x = 783,347.44

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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.