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Finding the Third Proportional to 354,576 and 765,987

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Solution

The third proportional to 354,576 and 765,987 is: 1,654,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,576 : 765,987 = 765,987 : x
  2. Step 2: Convert to fraction form
    354,576/765,987 = 765,987/x
  3. Step 3: Cross multiply
    354,576x = 765,987 × 765,987
  4. Step 4: Simplify right side
    354,576x = 586,736,084,169
  5. Step 5: Solve for x
    x = 586,736,084,169/354,576
  6. Step 6: Final answer
    x = 1,654,754.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.