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Finding the Third Proportional to 268,795 and 577,429

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Solution

The third proportional to 268,795 and 577,429 is: 1,240,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,795 : 577,429 = 577,429 : x
  2. Step 2: Convert to fraction form
    268,795/577,429 = 577,429/x
  3. Step 3: Cross multiply
    268,795x = 577,429 × 577,429
  4. Step 4: Simplify right side
    268,795x = 333,424,250,041
  5. Step 5: Solve for x
    x = 333,424,250,041/268,795
  6. Step 6: Final answer
    x = 1,240,440.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.