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Finding the Third Proportional to 376,591.50 and 829,575

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Solution

The third proportional to 376,591.50 and 829,575 is: 1,827,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,591.50 : 829,575 = 829,575 : x
  2. Step 2: Convert to fraction form
    376,591.50/829,575 = 829,575/x
  3. Step 3: Cross multiply
    376,591.50x = 829,575 × 829,575
  4. Step 4: Simplify right side
    376,591.50x = 688,194,680,625
  5. Step 5: Solve for x
    x = 688,194,680,625/376,591.50
  6. Step 6: Final answer
    x = 1,827,430.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.