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Finding the Third Proportional to 343,206 and 525,024

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Solution

The third proportional to 343,206 and 525,024 is: 803,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,206 : 525,024 = 525,024 : x
  2. Step 2: Convert to fraction form
    343,206/525,024 = 525,024/x
  3. Step 3: Cross multiply
    343,206x = 525,024 × 525,024
  4. Step 4: Simplify right side
    343,206x = 275,650,200,576
  5. Step 5: Solve for x
    x = 275,650,200,576/343,206
  6. Step 6: Final answer
    x = 803,162.53

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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.