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Finding the Third Proportional to 258,248.25 and 560,828.81

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Solution

The third proportional to 258,248.25 and 560,828.81 is: 1,217,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,248.25 : 560,828.81 = 560,828.81 : x
  2. Step 2: Convert to fraction form
    258,248.25/560,828.81 = 560,828.81/x
  3. Step 3: Cross multiply
    258,248.25x = 560,828.81 × 560,828.81
  4. Step 4: Simplify right side
    258,248.25x = 314,528,956,930.16
  5. Step 5: Solve for x
    x = 314,528,956,930.16/258,248.25
  6. Step 6: Final answer
    x = 1,217,932.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.