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Finding the Third Proportional to 235,587 and 523,446

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Solution

The third proportional to 235,587 and 523,446 is: 1,163,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,587 : 523,446 = 523,446 : x
  2. Step 2: Convert to fraction form
    235,587/523,446 = 523,446/x
  3. Step 3: Cross multiply
    235,587x = 523,446 × 523,446
  4. Step 4: Simplify right side
    235,587x = 273,995,714,916
  5. Step 5: Solve for x
    x = 273,995,714,916/235,587
  6. Step 6: Final answer
    x = 1,163,034.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.