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Finding the Third Proportional to 284,522.63 and 595,348.10

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Solution

The third proportional to 284,522.63 and 595,348.10 is: 1,245,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,522.63 : 595,348.10 = 595,348.10 : x
  2. Step 2: Convert to fraction form
    284,522.63/595,348.10 = 595,348.10/x
  3. Step 3: Cross multiply
    284,522.63x = 595,348.10 × 595,348.10
  4. Step 4: Simplify right side
    284,522.63x = 354,439,362,034.07
  5. Step 5: Solve for x
    x = 354,439,362,034.07/284,522.63
  6. Step 6: Final answer
    x = 1,245,733.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.