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Finding the Third Proportional to 275,032.75 and 437,631.50

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Solution

The third proportional to 275,032.75 and 437,631.50 is: 696,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,032.75 : 437,631.50 = 437,631.50 : x
  2. Step 2: Convert to fraction form
    275,032.75/437,631.50 = 437,631.50/x
  3. Step 3: Cross multiply
    275,032.75x = 437,631.50 × 437,631.50
  4. Step 4: Simplify right side
    275,032.75x = 191,521,329,792.25
  5. Step 5: Solve for x
    x = 191,521,329,792.25/275,032.75
  6. Step 6: Final answer
    x = 696,358.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.