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Finding the Third Proportional to 345,392 and 459,084

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Solution

The third proportional to 345,392 and 459,084 is: 610,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,392 : 459,084 = 459,084 : x
  2. Step 2: Convert to fraction form
    345,392/459,084 = 459,084/x
  3. Step 3: Cross multiply
    345,392x = 459,084 × 459,084
  4. Step 4: Simplify right side
    345,392x = 210,758,119,056
  5. Step 5: Solve for x
    x = 210,758,119,056/345,392
  6. Step 6: Final answer
    x = 610,199.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.