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Finding the Third Proportional to 281,988 and 595,410

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Solution

The third proportional to 281,988 and 595,410 is: 1,257,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,988 : 595,410 = 595,410 : x
  2. Step 2: Convert to fraction form
    281,988/595,410 = 595,410/x
  3. Step 3: Cross multiply
    281,988x = 595,410 × 595,410
  4. Step 4: Simplify right side
    281,988x = 354,513,068,100
  5. Step 5: Solve for x
    x = 354,513,068,100/281,988
  6. Step 6: Final answer
    x = 1,257,192.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.