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Finding the Third Proportional to 258,052.13 and 557,623.13

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Solution

The third proportional to 258,052.13 and 557,623.13 is: 1,204,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,052.13 : 557,623.13 = 557,623.13 : x
  2. Step 2: Convert to fraction form
    258,052.13/557,623.13 = 557,623.13/x
  3. Step 3: Cross multiply
    258,052.13x = 557,623.13 × 557,623.13
  4. Step 4: Simplify right side
    258,052.13x = 310,943,549,534.77
  5. Step 5: Solve for x
    x = 310,943,549,534.77/258,052.13
  6. Step 6: Final answer
    x = 1,204,964.11

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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.