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Finding the Third Proportional to 537,885 and 730,890

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Solution

The third proportional to 537,885 and 730,890 is: 993,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,885 : 730,890 = 730,890 : x
  2. Step 2: Convert to fraction form
    537,885/730,890 = 730,890/x
  3. Step 3: Cross multiply
    537,885x = 730,890 × 730,890
  4. Step 4: Simplify right side
    537,885x = 534,200,192,100
  5. Step 5: Solve for x
    x = 534,200,192,100/537,885
  6. Step 6: Final answer
    x = 993,149.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.