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Finding the Third Proportional to 299,692 and 637,532

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Solution

The third proportional to 299,692 and 637,532 is: 1,356,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,692 : 637,532 = 637,532 : x
  2. Step 2: Convert to fraction form
    299,692/637,532 = 637,532/x
  3. Step 3: Cross multiply
    299,692x = 637,532 × 637,532
  4. Step 4: Simplify right side
    299,692x = 406,447,051,024
  5. Step 5: Solve for x
    x = 406,447,051,024/299,692
  6. Step 6: Final answer
    x = 1,356,215.89

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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.