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Finding the Third Proportional to 543,312 and 860,120

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Solution

The third proportional to 543,312 and 860,120 is: 1,361,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,312 : 860,120 = 860,120 : x
  2. Step 2: Convert to fraction form
    543,312/860,120 = 860,120/x
  3. Step 3: Cross multiply
    543,312x = 860,120 × 860,120
  4. Step 4: Simplify right side
    543,312x = 739,806,414,400
  5. Step 5: Solve for x
    x = 739,806,414,400/543,312
  6. Step 6: Final answer
    x = 1,361,660.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.