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Finding the Third Proportional to 234,537.50 and 457,409.50

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Solution

The third proportional to 234,537.50 and 457,409.50 is: 892,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,537.50 : 457,409.50 = 457,409.50 : x
  2. Step 2: Convert to fraction form
    234,537.50/457,409.50 = 457,409.50/x
  3. Step 3: Cross multiply
    234,537.50x = 457,409.50 × 457,409.50
  4. Step 4: Simplify right side
    234,537.50x = 209,223,450,690.25
  5. Step 5: Solve for x
    x = 209,223,450,690.25/234,537.50
  6. Step 6: Final answer
    x = 892,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.