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Finding the Third Proportional to 385,531.50 and 576,076

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Solution

The third proportional to 385,531.50 and 576,076 is: 860,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,531.50 : 576,076 = 576,076 : x
  2. Step 2: Convert to fraction form
    385,531.50/576,076 = 576,076/x
  3. Step 3: Cross multiply
    385,531.50x = 576,076 × 576,076
  4. Step 4: Simplify right side
    385,531.50x = 331,863,557,776
  5. Step 5: Solve for x
    x = 331,863,557,776/385,531.50
  6. Step 6: Final answer
    x = 860,794.92

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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.