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Finding the Third Proportional to 381,005.02 and 590,267.88

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Solution

The third proportional to 381,005.02 and 590,267.88 is: 914,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,005.02 : 590,267.88 = 590,267.88 : x
  2. Step 2: Convert to fraction form
    381,005.02/590,267.88 = 590,267.88/x
  3. Step 3: Cross multiply
    381,005.02x = 590,267.88 × 590,267.88
  4. Step 4: Simplify right side
    381,005.02x = 348,416,173,479.95
  5. Step 5: Solve for x
    x = 348,416,173,479.95/381,005.02
  6. Step 6: Final answer
    x = 914,466.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.