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Finding the Third Proportional to 653,325.75 and 989,829

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Solution

The third proportional to 653,325.75 and 989,829 is: 1,499,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,325.75 : 989,829 = 989,829 : x
  2. Step 2: Convert to fraction form
    653,325.75/989,829 = 989,829/x
  3. Step 3: Cross multiply
    653,325.75x = 989,829 × 989,829
  4. Step 4: Simplify right side
    653,325.75x = 979,761,449,241
  5. Step 5: Solve for x
    x = 979,761,449,241/653,325.75
  6. Step 6: Final answer
    x = 1,499,652.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.