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Finding the Third Proportional to 234,538.50 and 457,411.50

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Solution

The third proportional to 234,538.50 and 457,411.50 is: 892,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,538.50 : 457,411.50 = 457,411.50 : x
  2. Step 2: Convert to fraction form
    234,538.50/457,411.50 = 457,411.50/x
  3. Step 3: Cross multiply
    234,538.50x = 457,411.50 × 457,411.50
  4. Step 4: Simplify right side
    234,538.50x = 209,225,280,332.25
  5. Step 5: Solve for x
    x = 209,225,280,332.25/234,538.50
  6. Step 6: Final answer
    x = 892,072.22

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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.