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Finding the Third Proportional to 490,590 and 719,733

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Solution

The third proportional to 490,590 and 719,733 is: 1,055,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,590 : 719,733 = 719,733 : x
  2. Step 2: Convert to fraction form
    490,590/719,733 = 719,733/x
  3. Step 3: Cross multiply
    490,590x = 719,733 × 719,733
  4. Step 4: Simplify right side
    490,590x = 518,015,591,289
  5. Step 5: Solve for x
    x = 518,015,591,289/490,590
  6. Step 6: Final answer
    x = 1,055,903.28

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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.