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Finding the Third Proportional to 350,397 and 768,618

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Solution

The third proportional to 350,397 and 768,618 is: 1,686,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,397 : 768,618 = 768,618 : x
  2. Step 2: Convert to fraction form
    350,397/768,618 = 768,618/x
  3. Step 3: Cross multiply
    350,397x = 768,618 × 768,618
  4. Step 4: Simplify right side
    350,397x = 590,773,629,924
  5. Step 5: Solve for x
    x = 590,773,629,924/350,397
  6. Step 6: Final answer
    x = 1,686,012.24

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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.