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Finding the Third Proportional to 459,306 and 600,381

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Solution

The third proportional to 459,306 and 600,381 is: 784,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,306 : 600,381 = 600,381 : x
  2. Step 2: Convert to fraction form
    459,306/600,381 = 600,381/x
  3. Step 3: Cross multiply
    459,306x = 600,381 × 600,381
  4. Step 4: Simplify right side
    459,306x = 360,457,345,161
  5. Step 5: Solve for x
    x = 360,457,345,161/459,306
  6. Step 6: Final answer
    x = 784,786.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.