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Finding the Third Proportional to 284,880 and 615,444

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Solution

The third proportional to 284,880 and 615,444 is: 1,329,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,880 : 615,444 = 615,444 : x
  2. Step 2: Convert to fraction form
    284,880/615,444 = 615,444/x
  3. Step 3: Cross multiply
    284,880x = 615,444 × 615,444
  4. Step 4: Simplify right side
    284,880x = 378,771,317,136
  5. Step 5: Solve for x
    x = 378,771,317,136/284,880
  6. Step 6: Final answer
    x = 1,329,581.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.