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Finding the Third Proportional to 464,325 and 694,352.50

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Solution

The third proportional to 464,325 and 694,352.50 is: 1,038,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,325 : 694,352.50 = 694,352.50 : x
  2. Step 2: Convert to fraction form
    464,325/694,352.50 = 694,352.50/x
  3. Step 3: Cross multiply
    464,325x = 694,352.50 × 694,352.50
  4. Step 4: Simplify right side
    464,325x = 482,125,394,256.25
  5. Step 5: Solve for x
    x = 482,125,394,256.25/464,325
  6. Step 6: Final answer
    x = 1,038,336.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.