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Finding the Third Proportional to 225,481 and 469,618

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Solution

The third proportional to 225,481 and 469,618 is: 978,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,481 : 469,618 = 469,618 : x
  2. Step 2: Convert to fraction form
    225,481/469,618 = 469,618/x
  3. Step 3: Cross multiply
    225,481x = 469,618 × 469,618
  4. Step 4: Simplify right side
    225,481x = 220,541,065,924
  5. Step 5: Solve for x
    x = 220,541,065,924/225,481
  6. Step 6: Final answer
    x = 978,091.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.