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Finding the Third Proportional to 343,230 and 525,057

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Solution

The third proportional to 343,230 and 525,057 is: 803,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,230 : 525,057 = 525,057 : x
  2. Step 2: Convert to fraction form
    343,230/525,057 = 525,057/x
  3. Step 3: Cross multiply
    343,230x = 525,057 × 525,057
  4. Step 4: Simplify right side
    343,230x = 275,684,853,249
  5. Step 5: Solve for x
    x = 275,684,853,249/343,230
  6. Step 6: Final answer
    x = 803,207.33

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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.