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Finding the Third Proportional to 637,271.30 and 972,546.75

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Solution

The third proportional to 637,271.30 and 972,546.75 is: 1,484,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,271.30 : 972,546.75 = 972,546.75 : x
  2. Step 2: Convert to fraction form
    637,271.30/972,546.75 = 972,546.75/x
  3. Step 3: Cross multiply
    637,271.30x = 972,546.75 × 972,546.75
  4. Step 4: Simplify right side
    637,271.30x = 945,847,180,935.56
  5. Step 5: Solve for x
    x = 945,847,180,935.56/637,271.30
  6. Step 6: Final answer
    x = 1,484,214.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.