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Finding the Third Proportional to 457,956 and 670,527

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Solution

The third proportional to 457,956 and 670,527 is: 981,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,956 : 670,527 = 670,527 : x
  2. Step 2: Convert to fraction form
    457,956/670,527 = 670,527/x
  3. Step 3: Cross multiply
    457,956x = 670,527 × 670,527
  4. Step 4: Simplify right side
    457,956x = 449,606,457,729
  5. Step 5: Solve for x
    x = 449,606,457,729/457,956
  6. Step 6: Final answer
    x = 981,767.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.