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Finding the Third Proportional to 237,475.50 and 484,636.50

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Solution

The third proportional to 237,475.50 and 484,636.50 is: 989,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,475.50 : 484,636.50 = 484,636.50 : x
  2. Step 2: Convert to fraction form
    237,475.50/484,636.50 = 484,636.50/x
  3. Step 3: Cross multiply
    237,475.50x = 484,636.50 × 484,636.50
  4. Step 4: Simplify right side
    237,475.50x = 234,872,537,132.25
  5. Step 5: Solve for x
    x = 234,872,537,132.25/237,475.50
  6. Step 6: Final answer
    x = 989,039.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.