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Finding the Third Proportional to 353,101.50 and 771,768

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Solution

The third proportional to 353,101.50 and 771,768 is: 1,686,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,101.50 : 771,768 = 771,768 : x
  2. Step 2: Convert to fraction form
    353,101.50/771,768 = 771,768/x
  3. Step 3: Cross multiply
    353,101.50x = 771,768 × 771,768
  4. Step 4: Simplify right side
    353,101.50x = 595,625,845,824
  5. Step 5: Solve for x
    x = 595,625,845,824/353,101.50
  6. Step 6: Final answer
    x = 1,686,840.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.