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Finding the Third Proportional to 287,932 and 450,652

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Solution

The third proportional to 287,932 and 450,652 is: 705,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,932 : 450,652 = 450,652 : x
  2. Step 2: Convert to fraction form
    287,932/450,652 = 450,652/x
  3. Step 3: Cross multiply
    287,932x = 450,652 × 450,652
  4. Step 4: Simplify right side
    287,932x = 203,087,225,104
  5. Step 5: Solve for x
    x = 203,087,225,104/287,932
  6. Step 6: Final answer
    x = 705,330.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.