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Finding the Third Proportional to 305,913.50 and 430,026

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Solution

The third proportional to 305,913.50 and 430,026 is: 604,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,913.50 : 430,026 = 430,026 : x
  2. Step 2: Convert to fraction form
    305,913.50/430,026 = 430,026/x
  3. Step 3: Cross multiply
    305,913.50x = 430,026 × 430,026
  4. Step 4: Simplify right side
    305,913.50x = 184,922,360,676
  5. Step 5: Solve for x
    x = 184,922,360,676/305,913.50
  6. Step 6: Final answer
    x = 604,492.32

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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.