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Finding the Third Proportional to 265,700 and 394,786

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Solution

The third proportional to 265,700 and 394,786 is: 586,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,700 : 394,786 = 394,786 : x
  2. Step 2: Convert to fraction form
    265,700/394,786 = 394,786/x
  3. Step 3: Cross multiply
    265,700x = 394,786 × 394,786
  4. Step 4: Simplify right side
    265,700x = 155,855,985,796
  5. Step 5: Solve for x
    x = 155,855,985,796/265,700
  6. Step 6: Final answer
    x = 586,586.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.