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Finding the Third Proportional to 305,953.25 and 430,088.88

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Solution

The third proportional to 305,953.25 and 430,088.88 is: 604,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,953.25 : 430,088.88 = 430,088.88 : x
  2. Step 2: Convert to fraction form
    305,953.25/430,088.88 = 430,088.88/x
  3. Step 3: Cross multiply
    305,953.25x = 430,088.88 × 430,088.88
  4. Step 4: Simplify right side
    305,953.25x = 184,976,440,398.77
  5. Step 5: Solve for x
    x = 184,976,440,398.77/305,953.25
  6. Step 6: Final answer
    x = 604,590.54

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