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Finding the Third Proportional to 336,618 and 737,614

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Solution

The third proportional to 336,618 and 737,614 is: 1,616,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,618 : 737,614 = 737,614 : x
  2. Step 2: Convert to fraction form
    336,618/737,614 = 737,614/x
  3. Step 3: Cross multiply
    336,618x = 737,614 × 737,614
  4. Step 4: Simplify right side
    336,618x = 544,074,412,996
  5. Step 5: Solve for x
    x = 544,074,412,996/336,618
  6. Step 6: Final answer
    x = 1,616,296.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.