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Finding the Third Proportional to 608,258 and 889,275

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Solution

The third proportional to 608,258 and 889,275 is: 1,300,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,258 : 889,275 = 889,275 : x
  2. Step 2: Convert to fraction form
    608,258/889,275 = 889,275/x
  3. Step 3: Cross multiply
    608,258x = 889,275 × 889,275
  4. Step 4: Simplify right side
    608,258x = 790,810,025,625
  5. Step 5: Solve for x
    x = 790,810,025,625/608,258
  6. Step 6: Final answer
    x = 1,300,122.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.