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Finding the Third Proportional to 329,083.50 and 712,140

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Solution

The third proportional to 329,083.50 and 712,140 is: 1,541,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,083.50 : 712,140 = 712,140 : x
  2. Step 2: Convert to fraction form
    329,083.50/712,140 = 712,140/x
  3. Step 3: Cross multiply
    329,083.50x = 712,140 × 712,140
  4. Step 4: Simplify right side
    329,083.50x = 507,143,379,600
  5. Step 5: Solve for x
    x = 507,143,379,600/329,083.50
  6. Step 6: Final answer
    x = 1,541,078.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.