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Finding the Third Proportional to 561,313.13 and 1,230,261.75

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Solution

The third proportional to 561,313.13 and 1,230,261.75 is: 2,696,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,313.13 : 1,230,261.75 = 1,230,261.75 : x
  2. Step 2: Convert to fraction form
    561,313.13/1,230,261.75 = 1,230,261.75/x
  3. Step 3: Cross multiply
    561,313.13x = 1,230,261.75 × 1,230,261.75
  4. Step 4: Simplify right side
    561,313.13x = 1,513,543,973,513.06
  5. Step 5: Solve for x
    x = 1,513,543,973,513.06/561,313.13
  6. Step 6: Final answer
    x = 2,696,434.32

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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.