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Finding the Third Proportional to 306,082.50 and 664,584

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Solution

The third proportional to 306,082.50 and 664,584 is: 1,442,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082.50 : 664,584 = 664,584 : x
  2. Step 2: Convert to fraction form
    306,082.50/664,584 = 664,584/x
  3. Step 3: Cross multiply
    306,082.50x = 664,584 × 664,584
  4. Step 4: Simplify right side
    306,082.50x = 441,671,893,056
  5. Step 5: Solve for x
    x = 441,671,893,056/306,082.50
  6. Step 6: Final answer
    x = 1,442,983.16

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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.