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Finding the Third Proportional to 265,883.63 and 583,428.38

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Solution

The third proportional to 265,883.63 and 583,428.38 is: 1,280,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,883.63 : 583,428.38 = 583,428.38 : x
  2. Step 2: Convert to fraction form
    265,883.63/583,428.38 = 583,428.38/x
  3. Step 3: Cross multiply
    265,883.63x = 583,428.38 × 583,428.38
  4. Step 4: Simplify right side
    265,883.63x = 340,388,668,755.14
  5. Step 5: Solve for x
    x = 340,388,668,755.14/265,883.63
  6. Step 6: Final answer
    x = 1,280,216.74

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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.