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Finding the Third Proportional to 284,868 and 615,420

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Solution

The third proportional to 284,868 and 615,420 is: 1,329,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,868 : 615,420 = 615,420 : x
  2. Step 2: Convert to fraction form
    284,868/615,420 = 615,420/x
  3. Step 3: Cross multiply
    284,868x = 615,420 × 615,420
  4. Step 4: Simplify right side
    284,868x = 378,741,776,400
  5. Step 5: Solve for x
    x = 378,741,776,400/284,868
  6. Step 6: Final answer
    x = 1,329,534.30

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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.