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Finding the Third Proportional to 306,169 and 482,733

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Solution

The third proportional to 306,169 and 482,733 is: 761,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,169 : 482,733 = 482,733 : x
  2. Step 2: Convert to fraction form
    306,169/482,733 = 482,733/x
  3. Step 3: Cross multiply
    306,169x = 482,733 × 482,733
  4. Step 4: Simplify right side
    306,169x = 233,031,149,289
  5. Step 5: Solve for x
    x = 233,031,149,289/306,169
  6. Step 6: Final answer
    x = 761,119.35

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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.