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Finding the Third Proportional to 396,877.22 and 596,210.63

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Solution

The third proportional to 396,877.22 and 596,210.63 is: 895,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,877.22 : 596,210.63 = 596,210.63 : x
  2. Step 2: Convert to fraction form
    396,877.22/596,210.63 = 596,210.63/x
  3. Step 3: Cross multiply
    396,877.22x = 596,210.63 × 596,210.63
  4. Step 4: Simplify right side
    396,877.22x = 355,467,109,362.89
  5. Step 5: Solve for x
    x = 355,467,109,362.89/396,877.22
  6. Step 6: Final answer
    x = 895,660.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.