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Finding the Third Proportional to 351,376 and 772,724

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Solution

The third proportional to 351,376 and 772,724 is: 1,699,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,376 : 772,724 = 772,724 : x
  2. Step 2: Convert to fraction form
    351,376/772,724 = 772,724/x
  3. Step 3: Cross multiply
    351,376x = 772,724 × 772,724
  4. Step 4: Simplify right side
    351,376x = 597,102,380,176
  5. Step 5: Solve for x
    x = 597,102,380,176/351,376
  6. Step 6: Final answer
    x = 1,699,326.02

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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.