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Finding the Third Proportional to 294,035.63 and 637,859.25

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Solution

The third proportional to 294,035.63 and 637,859.25 is: 1,383,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,035.63 : 637,859.25 = 637,859.25 : x
  2. Step 2: Convert to fraction form
    294,035.63/637,859.25 = 637,859.25/x
  3. Step 3: Cross multiply
    294,035.63x = 637,859.25 × 637,859.25
  4. Step 4: Simplify right side
    294,035.63x = 406,864,422,810.56
  5. Step 5: Solve for x
    x = 406,864,422,810.56/294,035.63
  6. Step 6: Final answer
    x = 1,383,724.92

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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.