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Finding the Third Proportional to 258,707.25 and 565,508.25

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Solution

The third proportional to 258,707.25 and 565,508.25 is: 1,236,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,707.25 : 565,508.25 = 565,508.25 : x
  2. Step 2: Convert to fraction form
    258,707.25/565,508.25 = 565,508.25/x
  3. Step 3: Cross multiply
    258,707.25x = 565,508.25 × 565,508.25
  4. Step 4: Simplify right side
    258,707.25x = 319,799,580,818.06
  5. Step 5: Solve for x
    x = 319,799,580,818.06/258,707.25
  6. Step 6: Final answer
    x = 1,236,144.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.