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Finding the Third Proportional to 260,437 and 557,738

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Solution

The third proportional to 260,437 and 557,738 is: 1,194,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,437 : 557,738 = 557,738 : x
  2. Step 2: Convert to fraction form
    260,437/557,738 = 557,738/x
  3. Step 3: Cross multiply
    260,437x = 557,738 × 557,738
  4. Step 4: Simplify right side
    260,437x = 311,071,676,644
  5. Step 5: Solve for x
    x = 311,071,676,644/260,437
  6. Step 6: Final answer
    x = 1,194,421.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.