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Finding the Third Proportional to 534,869 and 785,932

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Solution

The third proportional to 534,869 and 785,932 is: 1,154,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,869 : 785,932 = 785,932 : x
  2. Step 2: Convert to fraction form
    534,869/785,932 = 785,932/x
  3. Step 3: Cross multiply
    534,869x = 785,932 × 785,932
  4. Step 4: Simplify right side
    534,869x = 617,689,108,624
  5. Step 5: Solve for x
    x = 617,689,108,624/534,869
  6. Step 6: Final answer
    x = 1,154,841.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.