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Finding the Third Proportional to 297,654.75 and 653,119.88

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Solution

The third proportional to 297,654.75 and 653,119.88 is: 1,433,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,654.75 : 653,119.88 = 653,119.88 : x
  2. Step 2: Convert to fraction form
    297,654.75/653,119.88 = 653,119.88/x
  3. Step 3: Cross multiply
    297,654.75x = 653,119.88 × 653,119.88
  4. Step 4: Simplify right side
    297,654.75x = 426,565,571,120.02
  5. Step 5: Solve for x
    x = 426,565,571,120.02/297,654.75
  6. Step 6: Final answer
    x = 1,433,088.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.