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Finding the Third Proportional to 374,077 and 580,414

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Solution

The third proportional to 374,077 and 580,414 is: 900,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,077 : 580,414 = 580,414 : x
  2. Step 2: Convert to fraction form
    374,077/580,414 = 580,414/x
  3. Step 3: Cross multiply
    374,077x = 580,414 × 580,414
  4. Step 4: Simplify right side
    374,077x = 336,880,411,396
  5. Step 5: Solve for x
    x = 336,880,411,396/374,077
  6. Step 6: Final answer
    x = 900,564.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.