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Finding the Third Proportional to 263,294 and 578,074

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Solution

The third proportional to 263,294 and 578,074 is: 1,269,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,294 : 578,074 = 578,074 : x
  2. Step 2: Convert to fraction form
    263,294/578,074 = 578,074/x
  3. Step 3: Cross multiply
    263,294x = 578,074 × 578,074
  4. Step 4: Simplify right side
    263,294x = 334,169,549,476
  5. Step 5: Solve for x
    x = 334,169,549,476/263,294
  6. Step 6: Final answer
    x = 1,269,187.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.