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Finding the Third Proportional to 259,116.47 and 560,676.94

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Solution

The third proportional to 259,116.47 and 560,676.94 is: 1,213,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,116.47 : 560,676.94 = 560,676.94 : x
  2. Step 2: Convert to fraction form
    259,116.47/560,676.94 = 560,676.94/x
  3. Step 3: Cross multiply
    259,116.47x = 560,676.94 × 560,676.94
  4. Step 4: Simplify right side
    259,116.47x = 314,358,628,244.38
  5. Step 5: Solve for x
    x = 314,358,628,244.38/259,116.47
  6. Step 6: Final answer
    x = 1,213,194.32

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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.