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Finding the Third Proportional to 229,280 and 505,056

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Solution

The third proportional to 229,280 and 505,056 is: 1,112,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,280 : 505,056 = 505,056 : x
  2. Step 2: Convert to fraction form
    229,280/505,056 = 505,056/x
  3. Step 3: Cross multiply
    229,280x = 505,056 × 505,056
  4. Step 4: Simplify right side
    229,280x = 255,081,563,136
  5. Step 5: Solve for x
    x = 255,081,563,136/229,280
  6. Step 6: Final answer
    x = 1,112,532.99

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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.