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Finding the Third Proportional to 417,271.50 and 633,865.50

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Solution

The third proportional to 417,271.50 and 633,865.50 is: 962,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,271.50 : 633,865.50 = 633,865.50 : x
  2. Step 2: Convert to fraction form
    417,271.50/633,865.50 = 633,865.50/x
  3. Step 3: Cross multiply
    417,271.50x = 633,865.50 × 633,865.50
  4. Step 4: Simplify right side
    417,271.50x = 401,785,472,090.25
  5. Step 5: Solve for x
    x = 401,785,472,090.25/417,271.50
  6. Step 6: Final answer
    x = 962,887.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.