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Finding the Third Proportional to 218,674 and 473,618

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Solution

The third proportional to 218,674 and 473,618 is: 1,025,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,674 : 473,618 = 473,618 : x
  2. Step 2: Convert to fraction form
    218,674/473,618 = 473,618/x
  3. Step 3: Cross multiply
    218,674x = 473,618 × 473,618
  4. Step 4: Simplify right side
    218,674x = 224,314,009,924
  5. Step 5: Solve for x
    x = 224,314,009,924/218,674
  6. Step 6: Final answer
    x = 1,025,791.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.