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Finding the Third Proportional to 766,075.50 and 1,159,778.25

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Solution

The third proportional to 766,075.50 and 1,159,778.25 is: 1,755,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,075.50 : 1,159,778.25 = 1,159,778.25 : x
  2. Step 2: Convert to fraction form
    766,075.50/1,159,778.25 = 1,159,778.25/x
  3. Step 3: Cross multiply
    766,075.50x = 1,159,778.25 × 1,159,778.25
  4. Step 4: Simplify right side
    766,075.50x = 1,345,085,589,173.06
  5. Step 5: Solve for x
    x = 1,345,085,589,173.06/766,075.50
  6. Step 6: Final answer
    x = 1,755,813.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.