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Finding the Third Proportional to 668,274.50 and 965,541

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Solution

The third proportional to 668,274.50 and 965,541 is: 1,395,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,274.50 : 965,541 = 965,541 : x
  2. Step 2: Convert to fraction form
    668,274.50/965,541 = 965,541/x
  3. Step 3: Cross multiply
    668,274.50x = 965,541 × 965,541
  4. Step 4: Simplify right side
    668,274.50x = 932,269,422,681
  5. Step 5: Solve for x
    x = 932,269,422,681/668,274.50
  6. Step 6: Final answer
    x = 1,395,039.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.