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Finding the Third Proportional to 265,836.94 and 583,346.81

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Solution

The third proportional to 265,836.94 and 583,346.81 is: 1,280,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,836.94 : 583,346.81 = 583,346.81 : x
  2. Step 2: Convert to fraction form
    265,836.94/583,346.81 = 583,346.81/x
  3. Step 3: Cross multiply
    265,836.94x = 583,346.81 × 583,346.81
  4. Step 4: Simplify right side
    265,836.94x = 340,293,503,653.91
  5. Step 5: Solve for x
    x = 340,293,503,653.91/265,836.94
  6. Step 6: Final answer
    x = 1,280,083.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.