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Finding the Third Proportional to 385,266.38 and 613,575

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Solution

The third proportional to 385,266.38 and 613,575 is: 977,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,266.38 : 613,575 = 613,575 : x
  2. Step 2: Convert to fraction form
    385,266.38/613,575 = 613,575/x
  3. Step 3: Cross multiply
    385,266.38x = 613,575 × 613,575
  4. Step 4: Simplify right side
    385,266.38x = 376,474,280,625
  5. Step 5: Solve for x
    x = 376,474,280,625/385,266.38
  6. Step 6: Final answer
    x = 977,179.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.