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Finding the Third Proportional to 258,935.06 and 564,936.19

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Solution

The third proportional to 258,935.06 and 564,936.19 is: 1,232,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,935.06 : 564,936.19 = 564,936.19 : x
  2. Step 2: Convert to fraction form
    258,935.06/564,936.19 = 564,936.19/x
  3. Step 3: Cross multiply
    258,935.06x = 564,936.19 × 564,936.19
  4. Step 4: Simplify right side
    258,935.06x = 319,152,895,947.04
  5. Step 5: Solve for x
    x = 319,152,895,947.04/258,935.06
  6. Step 6: Final answer
    x = 1,232,559.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.