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Finding the Third Proportional to 553,680.14 and 841,719.09

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Solution

The third proportional to 553,680.14 and 841,719.09 is: 1,279,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,680.14 : 841,719.09 = 841,719.09 : x
  2. Step 2: Convert to fraction form
    553,680.14/841,719.09 = 841,719.09/x
  3. Step 3: Cross multiply
    553,680.14x = 841,719.09 × 841,719.09
  4. Step 4: Simplify right side
    553,680.14x = 708,491,032,783.32
  5. Step 5: Solve for x
    x = 708,491,032,783.32/553,680.14
  6. Step 6: Final answer
    x = 1,279,603.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.