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Finding the Third Proportional to 294,417 and 440,437.50

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Solution

The third proportional to 294,417 and 440,437.50 is: 658,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,417 : 440,437.50 = 440,437.50 : x
  2. Step 2: Convert to fraction form
    294,417/440,437.50 = 440,437.50/x
  3. Step 3: Cross multiply
    294,417x = 440,437.50 × 440,437.50
  4. Step 4: Simplify right side
    294,417x = 193,985,191,406.25
  5. Step 5: Solve for x
    x = 193,985,191,406.25/294,417
  6. Step 6: Final answer
    x = 658,879.04

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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.