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Finding the Third Proportional to 612,135 and 860,497.50

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Solution

The third proportional to 612,135 and 860,497.50 is: 1,209,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,135 : 860,497.50 = 860,497.50 : x
  2. Step 2: Convert to fraction form
    612,135/860,497.50 = 860,497.50/x
  3. Step 3: Cross multiply
    612,135x = 860,497.50 × 860,497.50
  4. Step 4: Simplify right side
    612,135x = 740,455,947,506.25
  5. Step 5: Solve for x
    x = 740,455,947,506.25/612,135
  6. Step 6: Final answer
    x = 1,209,628.51

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