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Finding the Third Proportional to 468,153 and 719,739

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Solution

The third proportional to 468,153 and 719,739 is: 1,106,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,153 : 719,739 = 719,739 : x
  2. Step 2: Convert to fraction form
    468,153/719,739 = 719,739/x
  3. Step 3: Cross multiply
    468,153x = 719,739 × 719,739
  4. Step 4: Simplify right side
    468,153x = 518,024,228,121
  5. Step 5: Solve for x
    x = 518,024,228,121/468,153
  6. Step 6: Final answer
    x = 1,106,527.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.