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Finding the Third Proportional to 601,200 and 928,260

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Solution

The third proportional to 601,200 and 928,260 is: 1,433,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,200 : 928,260 = 928,260 : x
  2. Step 2: Convert to fraction form
    601,200/928,260 = 928,260/x
  3. Step 3: Cross multiply
    601,200x = 928,260 × 928,260
  4. Step 4: Simplify right side
    601,200x = 861,666,627,600
  5. Step 5: Solve for x
    x = 861,666,627,600/601,200
  6. Step 6: Final answer
    x = 1,433,244.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.