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Finding the Third Proportional to 338,004 and 719,056

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Solution

The third proportional to 338,004 and 719,056 is: 1,529,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,004 : 719,056 = 719,056 : x
  2. Step 2: Convert to fraction form
    338,004/719,056 = 719,056/x
  3. Step 3: Cross multiply
    338,004x = 719,056 × 719,056
  4. Step 4: Simplify right side
    338,004x = 517,041,531,136
  5. Step 5: Solve for x
    x = 517,041,531,136/338,004
  6. Step 6: Final answer
    x = 1,529,690.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.