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Finding the Third Proportional to 536,440.50 and 1,172,531.25

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Solution

The third proportional to 536,440.50 and 1,172,531.25 is: 2,562,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,440.50 : 1,172,531.25 = 1,172,531.25 : x
  2. Step 2: Convert to fraction form
    536,440.50/1,172,531.25 = 1,172,531.25/x
  3. Step 3: Cross multiply
    536,440.50x = 1,172,531.25 × 1,172,531.25
  4. Step 4: Simplify right side
    536,440.50x = 1,374,829,532,226.56
  5. Step 5: Solve for x
    x = 1,374,829,532,226.56/536,440.50
  6. Step 6: Final answer
    x = 2,562,874.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.