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Finding the Third Proportional to 459,324 and 675,858

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Solution

The third proportional to 459,324 and 675,858 is: 994,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,324 : 675,858 = 675,858 : x
  2. Step 2: Convert to fraction form
    459,324/675,858 = 675,858/x
  3. Step 3: Cross multiply
    459,324x = 675,858 × 675,858
  4. Step 4: Simplify right side
    459,324x = 456,784,036,164
  5. Step 5: Solve for x
    x = 456,784,036,164/459,324
  6. Step 6: Final answer
    x = 994,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.