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Finding the Third Proportional to 634,576 and 934,296

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Solution

The third proportional to 634,576 and 934,296 is: 1,375,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,576 : 934,296 = 934,296 : x
  2. Step 2: Convert to fraction form
    634,576/934,296 = 934,296/x
  3. Step 3: Cross multiply
    634,576x = 934,296 × 934,296
  4. Step 4: Simplify right side
    634,576x = 872,909,015,616
  5. Step 5: Solve for x
    x = 872,909,015,616/634,576
  6. Step 6: Final answer
    x = 1,375,578.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.