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Finding the Third Proportional to 366,272 and 760,618

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Solution

The third proportional to 366,272 and 760,618 is: 1,579,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,272 : 760,618 = 760,618 : x
  2. Step 2: Convert to fraction form
    366,272/760,618 = 760,618/x
  3. Step 3: Cross multiply
    366,272x = 760,618 × 760,618
  4. Step 4: Simplify right side
    366,272x = 578,539,741,924
  5. Step 5: Solve for x
    x = 578,539,741,924/366,272
  6. Step 6: Final answer
    x = 1,579,535.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.