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Finding the Third Proportional to 545,058 and 850,692

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Solution

The third proportional to 545,058 and 850,692 is: 1,327,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,058 : 850,692 = 850,692 : x
  2. Step 2: Convert to fraction form
    545,058/850,692 = 850,692/x
  3. Step 3: Cross multiply
    545,058x = 850,692 × 850,692
  4. Step 4: Simplify right side
    545,058x = 723,676,878,864
  5. Step 5: Solve for x
    x = 723,676,878,864/545,058
  6. Step 6: Final answer
    x = 1,327,706.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.