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Finding the Third Proportional to 304,312.50 and 440,826.75

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Solution

The third proportional to 304,312.50 and 440,826.75 is: 638,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,312.50 : 440,826.75 = 440,826.75 : x
  2. Step 2: Convert to fraction form
    304,312.50/440,826.75 = 440,826.75/x
  3. Step 3: Cross multiply
    304,312.50x = 440,826.75 × 440,826.75
  4. Step 4: Simplify right side
    304,312.50x = 194,328,223,515.56
  5. Step 5: Solve for x
    x = 194,328,223,515.56/304,312.50
  6. Step 6: Final answer
    x = 638,581.14

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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.