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Finding the Third Proportional to 294,076 and 637,928

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Solution

The third proportional to 294,076 and 637,928 is: 1,383,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,076 : 637,928 = 637,928 : x
  2. Step 2: Convert to fraction form
    294,076/637,928 = 637,928/x
  3. Step 3: Cross multiply
    294,076x = 637,928 × 637,928
  4. Step 4: Simplify right side
    294,076x = 406,952,133,184
  5. Step 5: Solve for x
    x = 406,952,133,184/294,076
  6. Step 6: Final answer
    x = 1,383,833.20

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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.