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Finding the Third Proportional to 305,855 and 719,618

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Solution

The third proportional to 305,855 and 719,618 is: 1,693,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,855 : 719,618 = 719,618 : x
  2. Step 2: Convert to fraction form
    305,855/719,618 = 719,618/x
  3. Step 3: Cross multiply
    305,855x = 719,618 × 719,618
  4. Step 4: Simplify right side
    305,855x = 517,850,065,924
  5. Step 5: Solve for x
    x = 517,850,065,924/305,855
  6. Step 6: Final answer
    x = 1,693,122.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.