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Finding the Third Proportional to 299,706 and 637,548

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Solution

The third proportional to 299,706 and 637,548 is: 1,356,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706 : 637,548 = 637,548 : x
  2. Step 2: Convert to fraction form
    299,706/637,548 = 637,548/x
  3. Step 3: Cross multiply
    299,706x = 637,548 × 637,548
  4. Step 4: Simplify right side
    299,706x = 406,467,452,304
  5. Step 5: Solve for x
    x = 406,467,452,304/299,706
  6. Step 6: Final answer
    x = 1,356,220.60

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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.