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Finding the Third Proportional to 585,023.63 and 873,708.19

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Solution

The third proportional to 585,023.63 and 873,708.19 is: 1,304,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,023.63 : 873,708.19 = 873,708.19 : x
  2. Step 2: Convert to fraction form
    585,023.63/873,708.19 = 873,708.19/x
  3. Step 3: Cross multiply
    585,023.63x = 873,708.19 × 873,708.19
  4. Step 4: Simplify right side
    585,023.63x = 763,365,996,904.54
  5. Step 5: Solve for x
    x = 763,365,996,904.54/585,023.63
  6. Step 6: Final answer
    x = 1,304,846.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.