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Finding the Third Proportional to 284,856.75 and 451,068.75

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Solution

The third proportional to 284,856.75 and 451,068.75 is: 714,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,856.75 : 451,068.75 = 451,068.75 : x
  2. Step 2: Convert to fraction form
    284,856.75/451,068.75 = 451,068.75/x
  3. Step 3: Cross multiply
    284,856.75x = 451,068.75 × 451,068.75
  4. Step 4: Simplify right side
    284,856.75x = 203,463,017,226.56
  5. Step 5: Solve for x
    x = 203,463,017,226.56/284,856.75
  6. Step 6: Final answer
    x = 714,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.