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Finding the Third Proportional to 702,472.50 and 1,003,812.75

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Solution

The third proportional to 702,472.50 and 1,003,812.75 is: 1,434,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,472.50 : 1,003,812.75 = 1,003,812.75 : x
  2. Step 2: Convert to fraction form
    702,472.50/1,003,812.75 = 1,003,812.75/x
  3. Step 3: Cross multiply
    702,472.50x = 1,003,812.75 × 1,003,812.75
  4. Step 4: Simplify right side
    702,472.50x = 1,007,640,037,062.56
  5. Step 5: Solve for x
    x = 1,007,640,037,062.56/702,472.50
  6. Step 6: Final answer
    x = 1,434,419.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.