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Finding the Third Proportional to 532,350 and 1,153,278

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Solution

The third proportional to 532,350 and 1,153,278 is: 2,498,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,350 : 1,153,278 = 1,153,278 : x
  2. Step 2: Convert to fraction form
    532,350/1,153,278 = 1,153,278/x
  3. Step 3: Cross multiply
    532,350x = 1,153,278 × 1,153,278
  4. Step 4: Simplify right side
    532,350x = 1,330,050,145,284
  5. Step 5: Solve for x
    x = 1,330,050,145,284/532,350
  6. Step 6: Final answer
    x = 2,498,450.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.