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Finding the Third Proportional to 321,852 and 480,618

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Solution

The third proportional to 321,852 and 480,618 is: 717,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,852 : 480,618 = 480,618 : x
  2. Step 2: Convert to fraction form
    321,852/480,618 = 480,618/x
  3. Step 3: Cross multiply
    321,852x = 480,618 × 480,618
  4. Step 4: Simplify right side
    321,852x = 230,993,661,924
  5. Step 5: Solve for x
    x = 230,993,661,924/321,852
  6. Step 6: Final answer
    x = 717,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.