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Finding the Third Proportional to 458,338.50 and 986,889

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Solution

The third proportional to 458,338.50 and 986,889 is: 2,124,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,338.50 : 986,889 = 986,889 : x
  2. Step 2: Convert to fraction form
    458,338.50/986,889 = 986,889/x
  3. Step 3: Cross multiply
    458,338.50x = 986,889 × 986,889
  4. Step 4: Simplify right side
    458,338.50x = 973,949,898,321
  5. Step 5: Solve for x
    x = 973,949,898,321/458,338.50
  6. Step 6: Final answer
    x = 2,124,957.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.