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Finding the Third Proportional to 233,859 and 504,618

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Solution

The third proportional to 233,859 and 504,618 is: 1,088,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,859 : 504,618 = 504,618 : x
  2. Step 2: Convert to fraction form
    233,859/504,618 = 504,618/x
  3. Step 3: Cross multiply
    233,859x = 504,618 × 504,618
  4. Step 4: Simplify right side
    233,859x = 254,639,325,924
  5. Step 5: Solve for x
    x = 254,639,325,924/233,859
  6. Step 6: Final answer
    x = 1,088,858.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.