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Finding the Third Proportional to 548,076 and 860,967

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Solution

The third proportional to 548,076 and 860,967 is: 1,352,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,076 : 860,967 = 860,967 : x
  2. Step 2: Convert to fraction form
    548,076/860,967 = 860,967/x
  3. Step 3: Cross multiply
    548,076x = 860,967 × 860,967
  4. Step 4: Simplify right side
    548,076x = 741,264,175,089
  5. Step 5: Solve for x
    x = 741,264,175,089/548,076
  6. Step 6: Final answer
    x = 1,352,484.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.