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Finding the Third Proportional to 375,764 and 662,260

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Solution

The third proportional to 375,764 and 662,260 is: 1,167,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,764 : 662,260 = 662,260 : x
  2. Step 2: Convert to fraction form
    375,764/662,260 = 662,260/x
  3. Step 3: Cross multiply
    375,764x = 662,260 × 662,260
  4. Step 4: Simplify right side
    375,764x = 438,588,307,600
  5. Step 5: Solve for x
    x = 438,588,307,600/375,764
  6. Step 6: Final answer
    x = 1,167,190.86

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.