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Finding the Third Proportional to 531,168 and 1,145,280

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Solution

The third proportional to 531,168 and 1,145,280 is: 2,469,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,168 : 1,145,280 = 1,145,280 : x
  2. Step 2: Convert to fraction form
    531,168/1,145,280 = 1,145,280/x
  3. Step 3: Cross multiply
    531,168x = 1,145,280 × 1,145,280
  4. Step 4: Simplify right side
    531,168x = 1,311,666,278,400
  5. Step 5: Solve for x
    x = 1,311,666,278,400/531,168
  6. Step 6: Final answer
    x = 2,469,400.04

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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.