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Finding the Third Proportional to 585,518.06 and 873,419.63

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Solution

The third proportional to 585,518.06 and 873,419.63 is: 1,302,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,518.06 : 873,419.63 = 873,419.63 : x
  2. Step 2: Convert to fraction form
    585,518.06/873,419.63 = 873,419.63/x
  3. Step 3: Cross multiply
    585,518.06x = 873,419.63 × 873,419.63
  4. Step 4: Simplify right side
    585,518.06x = 762,861,841,335.14
  5. Step 5: Solve for x
    x = 762,861,841,335.14/585,518.06
  6. Step 6: Final answer
    x = 1,302,883.53

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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.