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Finding the Third Proportional to 354,984 and 772,176

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Solution

The third proportional to 354,984 and 772,176 is: 1,679,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,984 : 772,176 = 772,176 : x
  2. Step 2: Convert to fraction form
    354,984/772,176 = 772,176/x
  3. Step 3: Cross multiply
    354,984x = 772,176 × 772,176
  4. Step 4: Simplify right side
    354,984x = 596,255,774,976
  5. Step 5: Solve for x
    x = 596,255,774,976/354,984
  6. Step 6: Final answer
    x = 1,679,669.44

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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.