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Finding the Third Proportional to 490,602 and 719,751

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Solution

The third proportional to 490,602 and 719,751 is: 1,055,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,602 : 719,751 = 719,751 : x
  2. Step 2: Convert to fraction form
    490,602/719,751 = 719,751/x
  3. Step 3: Cross multiply
    490,602x = 719,751 × 719,751
  4. Step 4: Simplify right side
    490,602x = 518,041,502,001
  5. Step 5: Solve for x
    x = 518,041,502,001/490,602
  6. Step 6: Final answer
    x = 1,055,930.27

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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.