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Finding the Third Proportional to 294,045 and 637,877

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Solution

The third proportional to 294,045 and 637,877 is: 1,383,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,045 : 637,877 = 637,877 : x
  2. Step 2: Convert to fraction form
    294,045/637,877 = 637,877/x
  3. Step 3: Cross multiply
    294,045x = 637,877 × 637,877
  4. Step 4: Simplify right side
    294,045x = 406,887,067,129
  5. Step 5: Solve for x
    x = 406,887,067,129/294,045
  6. Step 6: Final answer
    x = 1,383,757.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.