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Finding the Third Proportional to 304,179 and 440,584

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Solution

The third proportional to 304,179 and 440,584 is: 638,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,179 : 440,584 = 440,584 : x
  2. Step 2: Convert to fraction form
    304,179/440,584 = 440,584/x
  3. Step 3: Cross multiply
    304,179x = 440,584 × 440,584
  4. Step 4: Simplify right side
    304,179x = 194,114,261,056
  5. Step 5: Solve for x
    x = 194,114,261,056/304,179
  6. Step 6: Final answer
    x = 638,158.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.