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Finding the Third Proportional to 458,881.50 and 984,193.50

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Solution

The third proportional to 458,881.50 and 984,193.50 is: 2,110,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,881.50 : 984,193.50 = 984,193.50 : x
  2. Step 2: Convert to fraction form
    458,881.50/984,193.50 = 984,193.50/x
  3. Step 3: Cross multiply
    458,881.50x = 984,193.50 × 984,193.50
  4. Step 4: Simplify right side
    458,881.50x = 968,636,845,442.25
  5. Step 5: Solve for x
    x = 968,636,845,442.25/458,881.50
  6. Step 6: Final answer
    x = 2,110,864.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.