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Finding the Third Proportional to 294,045 and 637,878

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Solution

The third proportional to 294,045 and 637,878 is: 1,383,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,045 : 637,878 = 637,878 : x
  2. Step 2: Convert to fraction form
    294,045/637,878 = 637,878/x
  3. Step 3: Cross multiply
    294,045x = 637,878 × 637,878
  4. Step 4: Simplify right side
    294,045x = 406,888,342,884
  5. Step 5: Solve for x
    x = 406,888,342,884/294,045
  6. Step 6: Final answer
    x = 1,383,762.16

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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.