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Finding the Third Proportional to 294,072 and 637,922

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Solution

The third proportional to 294,072 and 637,922 is: 1,383,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,072 : 637,922 = 637,922 : x
  2. Step 2: Convert to fraction form
    294,072/637,922 = 637,922/x
  3. Step 3: Cross multiply
    294,072x = 637,922 × 637,922
  4. Step 4: Simplify right side
    294,072x = 406,944,478,084
  5. Step 5: Solve for x
    x = 406,944,478,084/294,072
  6. Step 6: Final answer
    x = 1,383,826.00

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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.