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Finding the Third Proportional to 385,577 and 576,097

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Solution

The third proportional to 385,577 and 576,097 is: 860,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,577 : 576,097 = 576,097 : x
  2. Step 2: Convert to fraction form
    385,577/576,097 = 576,097/x
  3. Step 3: Cross multiply
    385,577x = 576,097 × 576,097
  4. Step 4: Simplify right side
    385,577x = 331,887,753,409
  5. Step 5: Solve for x
    x = 331,887,753,409/385,577
  6. Step 6: Final answer
    x = 860,756.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.