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Finding the Third Proportional to 591,776 and 837,349

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Solution

The third proportional to 591,776 and 837,349 is: 1,184,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,776 : 837,349 = 837,349 : x
  2. Step 2: Convert to fraction form
    591,776/837,349 = 837,349/x
  3. Step 3: Cross multiply
    591,776x = 837,349 × 837,349
  4. Step 4: Simplify right side
    591,776x = 701,153,347,801
  5. Step 5: Solve for x
    x = 701,153,347,801/591,776
  6. Step 6: Final answer
    x = 1,184,828.97

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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.