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Finding the Third Proportional to 634,538 and 934,263

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Solution

The third proportional to 634,538 and 934,263 is: 1,375,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,538 : 934,263 = 934,263 : x
  2. Step 2: Convert to fraction form
    634,538/934,263 = 934,263/x
  3. Step 3: Cross multiply
    634,538x = 934,263 × 934,263
  4. Step 4: Simplify right side
    634,538x = 872,847,353,169
  5. Step 5: Solve for x
    x = 872,847,353,169/634,538
  6. Step 6: Final answer
    x = 1,375,563.56

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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.