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Finding the Third Proportional to 590,326.13 and 911,577.75

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Solution

The third proportional to 590,326.13 and 911,577.75 is: 1,407,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326.13 : 911,577.75 = 911,577.75 : x
  2. Step 2: Convert to fraction form
    590,326.13/911,577.75 = 911,577.75/x
  3. Step 3: Cross multiply
    590,326.13x = 911,577.75 × 911,577.75
  4. Step 4: Simplify right side
    590,326.13x = 830,973,994,295.06
  5. Step 5: Solve for x
    x = 830,973,994,295.06/590,326.13
  6. Step 6: Final answer
    x = 1,407,652.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.