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Finding the Third Proportional to 335,424 and 733,056

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Solution

The third proportional to 335,424 and 733,056 is: 1,602,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,424 : 733,056 = 733,056 : x
  2. Step 2: Convert to fraction form
    335,424/733,056 = 733,056/x
  3. Step 3: Cross multiply
    335,424x = 733,056 × 733,056
  4. Step 4: Simplify right side
    335,424x = 537,371,099,136
  5. Step 5: Solve for x
    x = 537,371,099,136/335,424
  6. Step 6: Final answer
    x = 1,602,065.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.