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Finding the Third Proportional to 301,552 and 634,096

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Solution

The third proportional to 301,552 and 634,096 is: 1,333,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,552 : 634,096 = 634,096 : x
  2. Step 2: Convert to fraction form
    301,552/634,096 = 634,096/x
  3. Step 3: Cross multiply
    301,552x = 634,096 × 634,096
  4. Step 4: Simplify right side
    301,552x = 402,077,737,216
  5. Step 5: Solve for x
    x = 402,077,737,216/301,552
  6. Step 6: Final answer
    x = 1,333,361.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.