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Finding the Third Proportional to 490,750 and 719,924

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Solution

The third proportional to 490,750 and 719,924 is: 1,056,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,750 : 719,924 = 719,924 : x
  2. Step 2: Convert to fraction form
    490,750/719,924 = 719,924/x
  3. Step 3: Cross multiply
    490,750x = 719,924 × 719,924
  4. Step 4: Simplify right side
    490,750x = 518,290,565,776
  5. Step 5: Solve for x
    x = 518,290,565,776/490,750
  6. Step 6: Final answer
    x = 1,056,119.34

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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.