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Finding the Third Proportional to 478,618 and 741,004

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Solution

The third proportional to 478,618 and 741,004 is: 1,147,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,618 : 741,004 = 741,004 : x
  2. Step 2: Convert to fraction form
    478,618/741,004 = 741,004/x
  3. Step 3: Cross multiply
    478,618x = 741,004 × 741,004
  4. Step 4: Simplify right side
    478,618x = 549,086,928,016
  5. Step 5: Solve for x
    x = 549,086,928,016/478,618
  6. Step 6: Final answer
    x = 1,147,234.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.