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Finding the Third Proportional to 280,714.50 and 431,484.75

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Solution

The third proportional to 280,714.50 and 431,484.75 is: 663,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,714.50 : 431,484.75 = 431,484.75 : x
  2. Step 2: Convert to fraction form
    280,714.50/431,484.75 = 431,484.75/x
  3. Step 3: Cross multiply
    280,714.50x = 431,484.75 × 431,484.75
  4. Step 4: Simplify right side
    280,714.50x = 186,179,089,482.56
  5. Step 5: Solve for x
    x = 186,179,089,482.56/280,714.50
  6. Step 6: Final answer
    x = 663,232.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.