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Finding the Third Proportional to 357,899.13 and 771,840.14

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Solution

The third proportional to 357,899.13 and 771,840.14 is: 1,664,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,899.13 : 771,840.14 = 771,840.14 : x
  2. Step 2: Convert to fraction form
    357,899.13/771,840.14 = 771,840.14/x
  3. Step 3: Cross multiply
    357,899.13x = 771,840.14 × 771,840.14
  4. Step 4: Simplify right side
    357,899.13x = 595,737,202,680.02
  5. Step 5: Solve for x
    x = 595,737,202,680.02/357,899.13
  6. Step 6: Final answer
    x = 1,664,539.39

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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.