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Finding the Third Proportional to 643,537 and 873,016.50

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Solution

The third proportional to 643,537 and 873,016.50 is: 1,184,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,537 : 873,016.50 = 873,016.50 : x
  2. Step 2: Convert to fraction form
    643,537/873,016.50 = 873,016.50/x
  3. Step 3: Cross multiply
    643,537x = 873,016.50 × 873,016.50
  4. Step 4: Simplify right side
    643,537x = 762,157,809,272.25
  5. Step 5: Solve for x
    x = 762,157,809,272.25/643,537
  6. Step 6: Final answer
    x = 1,184,326.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.