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Finding the Third Proportional to 357,264 and 531,036

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Solution

The third proportional to 357,264 and 531,036 is: 789,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,264 : 531,036 = 531,036 : x
  2. Step 2: Convert to fraction form
    357,264/531,036 = 531,036/x
  3. Step 3: Cross multiply
    357,264x = 531,036 × 531,036
  4. Step 4: Simplify right side
    357,264x = 281,999,233,296
  5. Step 5: Solve for x
    x = 281,999,233,296/357,264
  6. Step 6: Final answer
    x = 789,330.11

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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.