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Finding the Third Proportional to 351,632 and 559,056

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Solution

The third proportional to 351,632 and 559,056 is: 888,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,632 : 559,056 = 559,056 : x
  2. Step 2: Convert to fraction form
    351,632/559,056 = 559,056/x
  3. Step 3: Cross multiply
    351,632x = 559,056 × 559,056
  4. Step 4: Simplify right side
    351,632x = 312,543,611,136
  5. Step 5: Solve for x
    x = 312,543,611,136/351,632
  6. Step 6: Final answer
    x = 888,837.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.