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Finding the Third Proportional to 304,446.75 and 432,727.50

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Solution

The third proportional to 304,446.75 and 432,727.50 is: 615,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,446.75 : 432,727.50 = 432,727.50 : x
  2. Step 2: Convert to fraction form
    304,446.75/432,727.50 = 432,727.50/x
  3. Step 3: Cross multiply
    304,446.75x = 432,727.50 × 432,727.50
  4. Step 4: Simplify right side
    304,446.75x = 187,253,089,256.25
  5. Step 5: Solve for x
    x = 187,253,089,256.25/304,446.75
  6. Step 6: Final answer
    x = 615,060.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.