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Finding the Third Proportional to 264,638 and 624,618

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Solution

The third proportional to 264,638 and 624,618 is: 1,474,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,638 : 624,618 = 624,618 : x
  2. Step 2: Convert to fraction form
    264,638/624,618 = 624,618/x
  3. Step 3: Cross multiply
    264,638x = 624,618 × 624,618
  4. Step 4: Simplify right side
    264,638x = 390,147,645,924
  5. Step 5: Solve for x
    x = 390,147,645,924/264,638
  6. Step 6: Final answer
    x = 1,474,269.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.