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Finding the Third Proportional to 533,412 and 1,259,170.50

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Solution

The third proportional to 533,412 and 1,259,170.50 is: 2,972,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,412 : 1,259,170.50 = 1,259,170.50 : x
  2. Step 2: Convert to fraction form
    533,412/1,259,170.50 = 1,259,170.50/x
  3. Step 3: Cross multiply
    533,412x = 1,259,170.50 × 1,259,170.50
  4. Step 4: Simplify right side
    533,412x = 1,585,510,348,070.25
  5. Step 5: Solve for x
    x = 1,585,510,348,070.25/533,412
  6. Step 6: Final answer
    x = 2,972,393.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.