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Finding the Third Proportional to 382,341 and 573,655.50

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Solution

The third proportional to 382,341 and 573,655.50 is: 860,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,341 : 573,655.50 = 573,655.50 : x
  2. Step 2: Convert to fraction form
    382,341/573,655.50 = 573,655.50/x
  3. Step 3: Cross multiply
    382,341x = 573,655.50 × 573,655.50
  4. Step 4: Simplify right side
    382,341x = 329,080,632,680.25
  5. Step 5: Solve for x
    x = 329,080,632,680.25/382,341
  6. Step 6: Final answer
    x = 860,699.30

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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.