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Finding the Third Proportional to 585,540 and 873,436

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Solution

The third proportional to 585,540 and 873,436 is: 1,302,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,540 : 873,436 = 873,436 : x
  2. Step 2: Convert to fraction form
    585,540/873,436 = 873,436/x
  3. Step 3: Cross multiply
    585,540x = 873,436 × 873,436
  4. Step 4: Simplify right side
    585,540x = 762,890,446,096
  5. Step 5: Solve for x
    x = 762,890,446,096/585,540
  6. Step 6: Final answer
    x = 1,302,883.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.