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Finding the Third Proportional to 343,848 and 525,651

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Solution

The third proportional to 343,848 and 525,651 is: 803,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,848 : 525,651 = 525,651 : x
  2. Step 2: Convert to fraction form
    343,848/525,651 = 525,651/x
  3. Step 3: Cross multiply
    343,848x = 525,651 × 525,651
  4. Step 4: Simplify right side
    343,848x = 276,308,973,801
  5. Step 5: Solve for x
    x = 276,308,973,801/343,848
  6. Step 6: Final answer
    x = 803,578.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.