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Finding the Third Proportional to 306,984.50 and 664,411.50

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Solution

The third proportional to 306,984.50 and 664,411.50 is: 1,437,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,984.50 : 664,411.50 = 664,411.50 : x
  2. Step 2: Convert to fraction form
    306,984.50/664,411.50 = 664,411.50/x
  3. Step 3: Cross multiply
    306,984.50x = 664,411.50 × 664,411.50
  4. Step 4: Simplify right side
    306,984.50x = 441,442,641,332.25
  5. Step 5: Solve for x
    x = 441,442,641,332.25/306,984.50
  6. Step 6: Final answer
    x = 1,437,996.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.