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Finding the Third Proportional to 475,944 and 634,524

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Solution

The third proportional to 475,944 and 634,524 is: 845,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,944 : 634,524 = 634,524 : x
  2. Step 2: Convert to fraction form
    475,944/634,524 = 634,524/x
  3. Step 3: Cross multiply
    475,944x = 634,524 × 634,524
  4. Step 4: Simplify right side
    475,944x = 402,620,706,576
  5. Step 5: Solve for x
    x = 402,620,706,576/475,944
  6. Step 6: Final answer
    x = 845,941.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.