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Finding the Third Proportional to 299,200 and 645,056

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Solution

The third proportional to 299,200 and 645,056 is: 1,390,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,200 : 645,056 = 645,056 : x
  2. Step 2: Convert to fraction form
    299,200/645,056 = 645,056/x
  3. Step 3: Cross multiply
    299,200x = 645,056 × 645,056
  4. Step 4: Simplify right side
    299,200x = 416,097,243,136
  5. Step 5: Solve for x
    x = 416,097,243,136/299,200
  6. Step 6: Final answer
    x = 1,390,699.34

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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.