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Finding the Third Proportional to 362,692 and 544,354

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Solution

The third proportional to 362,692 and 544,354 is: 817,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,692 : 544,354 = 544,354 : x
  2. Step 2: Convert to fraction form
    362,692/544,354 = 544,354/x
  3. Step 3: Cross multiply
    362,692x = 544,354 × 544,354
  4. Step 4: Simplify right side
    362,692x = 296,321,277,316
  5. Step 5: Solve for x
    x = 296,321,277,316/362,692
  6. Step 6: Final answer
    x = 817,005.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.