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Finding the Third Proportional to 659,055 and 988,584

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Solution

The third proportional to 659,055 and 988,584 is: 1,482,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,055 : 988,584 = 988,584 : x
  2. Step 2: Convert to fraction form
    659,055/988,584 = 988,584/x
  3. Step 3: Cross multiply
    659,055x = 988,584 × 988,584
  4. Step 4: Simplify right side
    659,055x = 977,298,325,056
  5. Step 5: Solve for x
    x = 977,298,325,056/659,055
  6. Step 6: Final answer
    x = 1,482,878.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.