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Finding the Third Proportional to 345,295.50 and 759,114

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Solution

The third proportional to 345,295.50 and 759,114 is: 1,668,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,295.50 : 759,114 = 759,114 : x
  2. Step 2: Convert to fraction form
    345,295.50/759,114 = 759,114/x
  3. Step 3: Cross multiply
    345,295.50x = 759,114 × 759,114
  4. Step 4: Simplify right side
    345,295.50x = 576,254,064,996
  5. Step 5: Solve for x
    x = 576,254,064,996/345,295.50
  6. Step 6: Final answer
    x = 1,668,872.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.