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Finding the Third Proportional to 468,120 and 706,322

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Solution

The third proportional to 468,120 and 706,322 is: 1,065,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,120 : 706,322 = 706,322 : x
  2. Step 2: Convert to fraction form
    468,120/706,322 = 706,322/x
  3. Step 3: Cross multiply
    468,120x = 706,322 × 706,322
  4. Step 4: Simplify right side
    468,120x = 498,890,767,684
  5. Step 5: Solve for x
    x = 498,890,767,684/468,120
  6. Step 6: Final answer
    x = 1,065,732.65

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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.