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Finding the Third Proportional to 749,782.50 and 1,161,304.50

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Solution

The third proportional to 749,782.50 and 1,161,304.50 is: 1,798,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,782.50 : 1,161,304.50 = 1,161,304.50 : x
  2. Step 2: Convert to fraction form
    749,782.50/1,161,304.50 = 1,161,304.50/x
  3. Step 3: Cross multiply
    749,782.50x = 1,161,304.50 × 1,161,304.50
  4. Step 4: Simplify right side
    749,782.50x = 1,348,628,141,720.25
  5. Step 5: Solve for x
    x = 1,348,628,141,720.25/749,782.50
  6. Step 6: Final answer
    x = 1,798,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.