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Finding the Third Proportional to 468,054 and 706,272.75

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Solution

The third proportional to 468,054 and 706,272.75 is: 1,065,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,054 : 706,272.75 = 706,272.75 : x
  2. Step 2: Convert to fraction form
    468,054/706,272.75 = 706,272.75/x
  3. Step 3: Cross multiply
    468,054x = 706,272.75 × 706,272.75
  4. Step 4: Simplify right side
    468,054x = 498,821,197,392.56
  5. Step 5: Solve for x
    x = 498,821,197,392.56/468,054
  6. Step 6: Final answer
    x = 1,065,734.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.