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Finding the Third Proportional to 590,654.25 and 873,527.63

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Solution

The third proportional to 590,654.25 and 873,527.63 is: 1,291,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,654.25 : 873,527.63 = 873,527.63 : x
  2. Step 2: Convert to fraction form
    590,654.25/873,527.63 = 873,527.63/x
  3. Step 3: Cross multiply
    590,654.25x = 873,527.63 × 873,527.63
  4. Step 4: Simplify right side
    590,654.25x = 763,050,511,638.14
  5. Step 5: Solve for x
    x = 763,050,511,638.14/590,654.25
  6. Step 6: Final answer
    x = 1,291,873.40

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.