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Finding the Third Proportional to 348,715.69 and 538,611.19

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Solution

The third proportional to 348,715.69 and 538,611.19 is: 831,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,715.69 : 538,611.19 = 538,611.19 : x
  2. Step 2: Convert to fraction form
    348,715.69/538,611.19 = 538,611.19/x
  3. Step 3: Cross multiply
    348,715.69x = 538,611.19 × 538,611.19
  4. Step 4: Simplify right side
    348,715.69x = 290,102,011,300.16
  5. Step 5: Solve for x
    x = 290,102,011,300.16/348,715.69
  6. Step 6: Final answer
    x = 831,915.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.