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Finding the Third Proportional to 483,070.50 and 646,548.75

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Solution

The third proportional to 483,070.50 and 646,548.75 is: 865,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,070.50 : 646,548.75 = 646,548.75 : x
  2. Step 2: Convert to fraction form
    483,070.50/646,548.75 = 646,548.75/x
  3. Step 3: Cross multiply
    483,070.50x = 646,548.75 × 646,548.75
  4. Step 4: Simplify right side
    483,070.50x = 418,025,286,126.56
  5. Step 5: Solve for x
    x = 418,025,286,126.56/483,070.50
  6. Step 6: Final answer
    x = 865,350.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.