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Finding the Third Proportional to 468,132 and 706,334

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Solution

The third proportional to 468,132 and 706,334 is: 1,065,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,132 : 706,334 = 706,334 : x
  2. Step 2: Convert to fraction form
    468,132/706,334 = 706,334/x
  3. Step 3: Cross multiply
    468,132x = 706,334 × 706,334
  4. Step 4: Simplify right side
    468,132x = 498,907,719,556
  5. Step 5: Solve for x
    x = 498,907,719,556/468,132
  6. Step 6: Final answer
    x = 1,065,741.54

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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.