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Finding the Third Proportional to 458,506.50 and 1,005,586.50

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Solution

The third proportional to 458,506.50 and 1,005,586.50 is: 2,205,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,506.50 : 1,005,586.50 = 1,005,586.50 : x
  2. Step 2: Convert to fraction form
    458,506.50/1,005,586.50 = 1,005,586.50/x
  3. Step 3: Cross multiply
    458,506.50x = 1,005,586.50 × 1,005,586.50
  4. Step 4: Simplify right side
    458,506.50x = 1,011,204,208,982.25
  5. Step 5: Solve for x
    x = 1,011,204,208,982.25/458,506.50
  6. Step 6: Final answer
    x = 2,205,430.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.