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Finding the Third Proportional to 375,238 and 765,758

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Solution

The third proportional to 375,238 and 765,758 is: 1,562,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,238 : 765,758 = 765,758 : x
  2. Step 2: Convert to fraction form
    375,238/765,758 = 765,758/x
  3. Step 3: Cross multiply
    375,238x = 765,758 × 765,758
  4. Step 4: Simplify right side
    375,238x = 586,385,314,564
  5. Step 5: Solve for x
    x = 586,385,314,564/375,238
  6. Step 6: Final answer
    x = 1,562,702.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.