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Finding the Third Proportional to 486,264.09 and 781,293.94

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Solution

The third proportional to 486,264.09 and 781,293.94 is: 1,255,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,264.09 : 781,293.94 = 781,293.94 : x
  2. Step 2: Convert to fraction form
    486,264.09/781,293.94 = 781,293.94/x
  3. Step 3: Cross multiply
    486,264.09x = 781,293.94 × 781,293.94
  4. Step 4: Simplify right side
    486,264.09x = 610,420,216,774.25
  5. Step 5: Solve for x
    x = 610,420,216,774.25/486,264.09
  6. Step 6: Final answer
    x = 1,255,326.53

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.