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Finding the Third Proportional to 591,732 and 837,294

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Solution

The third proportional to 591,732 and 837,294 is: 1,184,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,732 : 837,294 = 837,294 : x
  2. Step 2: Convert to fraction form
    591,732/837,294 = 837,294/x
  3. Step 3: Cross multiply
    591,732x = 837,294 × 837,294
  4. Step 4: Simplify right side
    591,732x = 701,061,242,436
  5. Step 5: Solve for x
    x = 701,061,242,436/591,732
  6. Step 6: Final answer
    x = 1,184,761.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.