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Finding the Third Proportional to 325,644 and 706,200

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Solution

The third proportional to 325,644 and 706,200 is: 1,531,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,644 : 706,200 = 706,200 : x
  2. Step 2: Convert to fraction form
    325,644/706,200 = 706,200/x
  3. Step 3: Cross multiply
    325,644x = 706,200 × 706,200
  4. Step 4: Simplify right side
    325,644x = 498,718,440,000
  5. Step 5: Solve for x
    x = 498,718,440,000/325,644
  6. Step 6: Final answer
    x = 1,531,483.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.