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Finding the Third Proportional to 354,976 and 772,148

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Solution

The third proportional to 354,976 and 772,148 is: 1,679,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,976 : 772,148 = 772,148 : x
  2. Step 2: Convert to fraction form
    354,976/772,148 = 772,148/x
  3. Step 3: Cross multiply
    354,976x = 772,148 × 772,148
  4. Step 4: Simplify right side
    354,976x = 596,212,533,904
  5. Step 5: Solve for x
    x = 596,212,533,904/354,976
  6. Step 6: Final answer
    x = 1,679,585.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.