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Finding the Third Proportional to 591,232 and 882,960

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Solution

The third proportional to 591,232 and 882,960 is: 1,318,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,232 : 882,960 = 882,960 : x
  2. Step 2: Convert to fraction form
    591,232/882,960 = 882,960/x
  3. Step 3: Cross multiply
    591,232x = 882,960 × 882,960
  4. Step 4: Simplify right side
    591,232x = 779,618,361,600
  5. Step 5: Solve for x
    x = 779,618,361,600/591,232
  6. Step 6: Final answer
    x = 1,318,633.57

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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.