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Finding the Third Proportional to 402,234 and 794,316

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Solution

The third proportional to 402,234 and 794,316 is: 1,568,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,234 : 794,316 = 794,316 : x
  2. Step 2: Convert to fraction form
    402,234/794,316 = 794,316/x
  3. Step 3: Cross multiply
    402,234x = 794,316 × 794,316
  4. Step 4: Simplify right side
    402,234x = 630,937,907,856
  5. Step 5: Solve for x
    x = 630,937,907,856/402,234
  6. Step 6: Final answer
    x = 1,568,584.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.