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Finding the Third Proportional to 263,690 and 546,060

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Solution

The third proportional to 263,690 and 546,060 is: 1,130,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,690 : 546,060 = 546,060 : x
  2. Step 2: Convert to fraction form
    263,690/546,060 = 546,060/x
  3. Step 3: Cross multiply
    263,690x = 546,060 × 546,060
  4. Step 4: Simplify right side
    263,690x = 298,181,523,600
  5. Step 5: Solve for x
    x = 298,181,523,600/263,690
  6. Step 6: Final answer
    x = 1,130,803.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.