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Finding the Third Proportional to 306,176 and 482,741

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Solution

The third proportional to 306,176 and 482,741 is: 761,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,176 : 482,741 = 482,741 : x
  2. Step 2: Convert to fraction form
    306,176/482,741 = 482,741/x
  3. Step 3: Cross multiply
    306,176x = 482,741 × 482,741
  4. Step 4: Simplify right side
    306,176x = 233,038,873,081
  5. Step 5: Solve for x
    x = 233,038,873,081/306,176
  6. Step 6: Final answer
    x = 761,127.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.