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Finding the Third Proportional to 767,302.50 and 1,161,606

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Solution

The third proportional to 767,302.50 and 1,161,606 is: 1,758,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,302.50 : 1,161,606 = 1,161,606 : x
  2. Step 2: Convert to fraction form
    767,302.50/1,161,606 = 1,161,606/x
  3. Step 3: Cross multiply
    767,302.50x = 1,161,606 × 1,161,606
  4. Step 4: Simplify right side
    767,302.50x = 1,349,328,499,236
  5. Step 5: Solve for x
    x = 1,349,328,499,236/767,302.50
  6. Step 6: Final answer
    x = 1,758,535.26

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