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Finding the Third Proportional to 277,294.13 and 596,619.75

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Solution

The third proportional to 277,294.13 and 596,619.75 is: 1,283,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.13 : 596,619.75 = 596,619.75 : x
  2. Step 2: Convert to fraction form
    277,294.13/596,619.75 = 596,619.75/x
  3. Step 3: Cross multiply
    277,294.13x = 596,619.75 × 596,619.75
  4. Step 4: Simplify right side
    277,294.13x = 355,955,126,090.06
  5. Step 5: Solve for x
    x = 355,955,126,090.06/277,294.13
  6. Step 6: Final answer
    x = 1,283,673.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.