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Finding the Third Proportional to 533,499 and 948,578.25

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Solution

The third proportional to 533,499 and 948,578.25 is: 1,686,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,499 : 948,578.25 = 948,578.25 : x
  2. Step 2: Convert to fraction form
    533,499/948,578.25 = 948,578.25/x
  3. Step 3: Cross multiply
    533,499x = 948,578.25 × 948,578.25
  4. Step 4: Simplify right side
    533,499x = 899,800,696,373.06
  5. Step 5: Solve for x
    x = 899,800,696,373.06/533,499
  6. Step 6: Final answer
    x = 1,686,602.40

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.