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Finding the Third Proportional to 423,517.50 and 913,009.50

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Solution

The third proportional to 423,517.50 and 913,009.50 is: 1,968,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,517.50 : 913,009.50 = 913,009.50 : x
  2. Step 2: Convert to fraction form
    423,517.50/913,009.50 = 913,009.50/x
  3. Step 3: Cross multiply
    423,517.50x = 913,009.50 × 913,009.50
  4. Step 4: Simplify right side
    423,517.50x = 833,586,347,090.25
  5. Step 5: Solve for x
    x = 833,586,347,090.25/423,517.50
  6. Step 6: Final answer
    x = 1,968,245.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.