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Finding the Third Proportional to 236,741 and 508,618

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Solution

The third proportional to 236,741 and 508,618 is: 1,092,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,741 : 508,618 = 508,618 : x
  2. Step 2: Convert to fraction form
    236,741/508,618 = 508,618/x
  3. Step 3: Cross multiply
    236,741x = 508,618 × 508,618
  4. Step 4: Simplify right side
    236,741x = 258,692,269,924
  5. Step 5: Solve for x
    x = 258,692,269,924/236,741
  6. Step 6: Final answer
    x = 1,092,722.72

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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.