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Finding the Third Proportional to 294,058 and 637,904

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Solution

The third proportional to 294,058 and 637,904 is: 1,383,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,058 : 637,904 = 637,904 : x
  2. Step 2: Convert to fraction form
    294,058/637,904 = 637,904/x
  3. Step 3: Cross multiply
    294,058x = 637,904 × 637,904
  4. Step 4: Simplify right side
    294,058x = 406,921,513,216
  5. Step 5: Solve for x
    x = 406,921,513,216/294,058
  6. Step 6: Final answer
    x = 1,383,813.78

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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.