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Finding the Third Proportional to 341,271 and 734,056

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Solution

The third proportional to 341,271 and 734,056 is: 1,578,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,271 : 734,056 = 734,056 : x
  2. Step 2: Convert to fraction form
    341,271/734,056 = 734,056/x
  3. Step 3: Cross multiply
    341,271x = 734,056 × 734,056
  4. Step 4: Simplify right side
    341,271x = 538,838,211,136
  5. Step 5: Solve for x
    x = 538,838,211,136/341,271
  6. Step 6: Final answer
    x = 1,578,915.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.