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Finding the Third Proportional to 376,597 and 526,749

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Solution

The third proportional to 376,597 and 526,749 is: 736,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,597 : 526,749 = 526,749 : x
  2. Step 2: Convert to fraction form
    376,597/526,749 = 526,749/x
  3. Step 3: Cross multiply
    376,597x = 526,749 × 526,749
  4. Step 4: Simplify right side
    376,597x = 277,464,509,001
  5. Step 5: Solve for x
    x = 277,464,509,001/376,597
  6. Step 6: Final answer
    x = 736,767.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.