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Finding the Third Proportional to 260,801.65 and 556,052.34

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Solution

The third proportional to 260,801.65 and 556,052.34 is: 1,185,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,801.65 : 556,052.34 = 556,052.34 : x
  2. Step 2: Convert to fraction form
    260,801.65/556,052.34 = 556,052.34/x
  3. Step 3: Cross multiply
    260,801.65x = 556,052.34 × 556,052.34
  4. Step 4: Simplify right side
    260,801.65x = 309,194,208,989.87
  5. Step 5: Solve for x
    x = 309,194,208,989.87/260,801.65
  6. Step 6: Final answer
    x = 1,185,553.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.