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Finding the Third Proportional to 306,054 and 430,228.50

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Solution

The third proportional to 306,054 and 430,228.50 is: 604,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,054 : 430,228.50 = 430,228.50 : x
  2. Step 2: Convert to fraction form
    306,054/430,228.50 = 430,228.50/x
  3. Step 3: Cross multiply
    306,054x = 430,228.50 × 430,228.50
  4. Step 4: Simplify right side
    306,054x = 185,096,562,212.25
  5. Step 5: Solve for x
    x = 185,096,562,212.25/306,054
  6. Step 6: Final answer
    x = 604,784.00

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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.