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Finding the Third Proportional to 280,152 and 420,514.88

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Solution

The third proportional to 280,152 and 420,514.88 is: 631,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152 : 420,514.88 = 420,514.88 : x
  2. Step 2: Convert to fraction form
    280,152/420,514.88 = 420,514.88/x
  3. Step 3: Cross multiply
    280,152x = 420,514.88 × 420,514.88
  4. Step 4: Simplify right side
    280,152x = 176,832,760,096.27
  5. Step 5: Solve for x
    x = 176,832,760,096.27/280,152
  6. Step 6: Final answer
    x = 631,202.92

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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.