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Finding the Third Proportional to 451,880.50 and 652,942.50

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Solution

The third proportional to 451,880.50 and 652,942.50 is: 943,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,880.50 : 652,942.50 = 652,942.50 : x
  2. Step 2: Convert to fraction form
    451,880.50/652,942.50 = 652,942.50/x
  3. Step 3: Cross multiply
    451,880.50x = 652,942.50 × 652,942.50
  4. Step 4: Simplify right side
    451,880.50x = 426,333,908,306.25
  5. Step 5: Solve for x
    x = 426,333,908,306.25/451,880.50
  6. Step 6: Final answer
    x = 943,466.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.