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Finding the Third Proportional to 306,045.75 and 459,069.75

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Solution

The third proportional to 306,045.75 and 459,069.75 is: 688,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045.75 : 459,069.75 = 459,069.75 : x
  2. Step 2: Convert to fraction form
    306,045.75/459,069.75 = 459,069.75/x
  3. Step 3: Cross multiply
    306,045.75x = 459,069.75 × 459,069.75
  4. Step 4: Simplify right side
    306,045.75x = 210,745,035,365.06
  5. Step 5: Solve for x
    x = 210,745,035,365.06/306,045.75
  6. Step 6: Final answer
    x = 688,606.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.