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Finding the Third Proportional to 289,968 and 450,960

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Solution

The third proportional to 289,968 and 450,960 is: 701,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,968 : 450,960 = 450,960 : x
  2. Step 2: Convert to fraction form
    289,968/450,960 = 450,960/x
  3. Step 3: Cross multiply
    289,968x = 450,960 × 450,960
  4. Step 4: Simplify right side
    289,968x = 203,364,921,600
  5. Step 5: Solve for x
    x = 203,364,921,600/289,968
  6. Step 6: Final answer
    x = 701,335.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.