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Finding the Third Proportional to 643,583 and 874,058.50

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Solution

The third proportional to 643,583 and 874,058.50 is: 1,187,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,583 : 874,058.50 = 874,058.50 : x
  2. Step 2: Convert to fraction form
    643,583/874,058.50 = 874,058.50/x
  3. Step 3: Cross multiply
    643,583x = 874,058.50 × 874,058.50
  4. Step 4: Simplify right side
    643,583x = 763,978,261,422.25
  5. Step 5: Solve for x
    x = 763,978,261,422.25/643,583
  6. Step 6: Final answer
    x = 1,187,070.29

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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.