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Finding the Third Proportional to 240,756 and 512,618

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Solution

The third proportional to 240,756 and 512,618 is: 1,091,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,756 : 512,618 = 512,618 : x
  2. Step 2: Convert to fraction form
    240,756/512,618 = 512,618/x
  3. Step 3: Cross multiply
    240,756x = 512,618 × 512,618
  4. Step 4: Simplify right side
    240,756x = 262,777,213,924
  5. Step 5: Solve for x
    x = 262,777,213,924/240,756
  6. Step 6: Final answer
    x = 1,091,466.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.