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Finding the Third Proportional to 373,618 and 773,822

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Solution

The third proportional to 373,618 and 773,822 is: 1,602,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,618 : 773,822 = 773,822 : x
  2. Step 2: Convert to fraction form
    373,618/773,822 = 773,822/x
  3. Step 3: Cross multiply
    373,618x = 773,822 × 773,822
  4. Step 4: Simplify right side
    373,618x = 598,800,487,684
  5. Step 5: Solve for x
    x = 598,800,487,684/373,618
  6. Step 6: Final answer
    x = 1,602,707.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.