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Finding the Third Proportional to 266,323 and 374,602

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Solution

The third proportional to 266,323 and 374,602 is: 526,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,323 : 374,602 = 374,602 : x
  2. Step 2: Convert to fraction form
    266,323/374,602 = 374,602/x
  3. Step 3: Cross multiply
    266,323x = 374,602 × 374,602
  4. Step 4: Simplify right side
    266,323x = 140,326,658,404
  5. Step 5: Solve for x
    x = 140,326,658,404/266,323
  6. Step 6: Final answer
    x = 526,904.02

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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.