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Finding the Third Proportional to 259,475.20 and 561,596.77

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Solution

The third proportional to 259,475.20 and 561,596.77 is: 1,215,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,475.20 : 561,596.77 = 561,596.77 : x
  2. Step 2: Convert to fraction form
    259,475.20/561,596.77 = 561,596.77/x
  3. Step 3: Cross multiply
    259,475.20x = 561,596.77 × 561,596.77
  4. Step 4: Simplify right side
    259,475.20x = 315,390,927,160.46
  5. Step 5: Solve for x
    x = 315,390,927,160.46/259,475.20
  6. Step 6: Final answer
    x = 1,215,495.44

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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.