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Finding the Third Proportional to 284,125.50 and 578,043

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Solution

The third proportional to 284,125.50 and 578,043 is: 1,176,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,125.50 : 578,043 = 578,043 : x
  2. Step 2: Convert to fraction form
    284,125.50/578,043 = 578,043/x
  3. Step 3: Cross multiply
    284,125.50x = 578,043 × 578,043
  4. Step 4: Simplify right side
    284,125.50x = 334,133,709,849
  5. Step 5: Solve for x
    x = 334,133,709,849/284,125.50
  6. Step 6: Final answer
    x = 1,176,007.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.