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Finding the Third Proportional to 299,532 and 653,952

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Solution

The third proportional to 299,532 and 653,952 is: 1,427,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,532 : 653,952 = 653,952 : x
  2. Step 2: Convert to fraction form
    299,532/653,952 = 653,952/x
  3. Step 3: Cross multiply
    299,532x = 653,952 × 653,952
  4. Step 4: Simplify right side
    299,532x = 427,653,218,304
  5. Step 5: Solve for x
    x = 427,653,218,304/299,532
  6. Step 6: Final answer
    x = 1,427,738.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.