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Finding the Third Proportional to 532,483 and 1,158,257

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Solution

The third proportional to 532,483 and 1,158,257 is: 2,519,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,483 : 1,158,257 = 1,158,257 : x
  2. Step 2: Convert to fraction form
    532,483/1,158,257 = 1,158,257/x
  3. Step 3: Cross multiply
    532,483x = 1,158,257 × 1,158,257
  4. Step 4: Simplify right side
    532,483x = 1,341,559,278,049
  5. Step 5: Solve for x
    x = 1,341,559,278,049/532,483
  6. Step 6: Final answer
    x = 2,519,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.