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Finding the Third Proportional to 305,952.75 and 430,088.06

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Solution

The third proportional to 305,952.75 and 430,088.06 is: 604,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952.75 : 430,088.06 = 430,088.06 : x
  2. Step 2: Convert to fraction form
    305,952.75/430,088.06 = 430,088.06/x
  3. Step 3: Cross multiply
    305,952.75x = 430,088.06 × 430,088.06
  4. Step 4: Simplify right side
    305,952.75x = 184,975,741,505.00
  5. Step 5: Solve for x
    x = 184,975,741,505.00/305,952.75
  6. Step 6: Final answer
    x = 604,589.24

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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.