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Finding the Third Proportional to 343,819.50 and 525,613

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Solution

The third proportional to 343,819.50 and 525,613 is: 803,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,819.50 : 525,613 = 525,613 : x
  2. Step 2: Convert to fraction form
    343,819.50/525,613 = 525,613/x
  3. Step 3: Cross multiply
    343,819.50x = 525,613 × 525,613
  4. Step 4: Simplify right side
    343,819.50x = 276,269,025,769
  5. Step 5: Solve for x
    x = 276,269,025,769/343,819.50
  6. Step 6: Final answer
    x = 803,529.25

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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.