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Finding the Third Proportional to 350,794.50 and 564,955

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Solution

The third proportional to 350,794.50 and 564,955 is: 909,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,794.50 : 564,955 = 564,955 : x
  2. Step 2: Convert to fraction form
    350,794.50/564,955 = 564,955/x
  3. Step 3: Cross multiply
    350,794.50x = 564,955 × 564,955
  4. Step 4: Simplify right side
    350,794.50x = 319,174,152,025
  5. Step 5: Solve for x
    x = 319,174,152,025/350,794.50
  6. Step 6: Final answer
    x = 909,860.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.