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Finding the Third Proportional to 299,575.50 and 652,053

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Solution

The third proportional to 299,575.50 and 652,053 is: 1,419,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,575.50 : 652,053 = 652,053 : x
  2. Step 2: Convert to fraction form
    299,575.50/652,053 = 652,053/x
  3. Step 3: Cross multiply
    299,575.50x = 652,053 × 652,053
  4. Step 4: Simplify right side
    299,575.50x = 425,173,114,809
  5. Step 5: Solve for x
    x = 425,173,114,809/299,575.50
  6. Step 6: Final answer
    x = 1,419,251.96

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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.