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Finding the Third Proportional to 490,721.63 and 719,882.44

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Solution

The third proportional to 490,721.63 and 719,882.44 is: 1,056,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,721.63 : 719,882.44 = 719,882.44 : x
  2. Step 2: Convert to fraction form
    490,721.63/719,882.44 = 719,882.44/x
  3. Step 3: Cross multiply
    490,721.63x = 719,882.44 × 719,882.44
  4. Step 4: Simplify right side
    490,721.63x = 518,230,723,820.94
  5. Step 5: Solve for x
    x = 518,230,723,820.94/490,721.63
  6. Step 6: Final answer
    x = 1,056,058.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.