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Finding the Third Proportional to 280,710.56 and 431,476.88

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Solution

The third proportional to 280,710.56 and 431,476.88 is: 663,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710.56 : 431,476.88 = 431,476.88 : x
  2. Step 2: Convert to fraction form
    280,710.56/431,476.88 = 431,476.88/x
  3. Step 3: Cross multiply
    280,710.56x = 431,476.88 × 431,476.88
  4. Step 4: Simplify right side
    280,710.56x = 186,172,293,659.77
  5. Step 5: Solve for x
    x = 186,172,293,659.77/280,710.56
  6. Step 6: Final answer
    x = 663,217.99

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