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Finding the Third Proportional to 266,319 and 374,596

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Solution

The third proportional to 266,319 and 374,596 is: 526,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,319 : 374,596 = 374,596 : x
  2. Step 2: Convert to fraction form
    266,319/374,596 = 374,596/x
  3. Step 3: Cross multiply
    266,319x = 374,596 × 374,596
  4. Step 4: Simplify right side
    266,319x = 140,322,163,216
  5. Step 5: Solve for x
    x = 140,322,163,216/266,319
  6. Step 6: Final answer
    x = 526,895.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.