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Finding the Third Proportional to 294,842.50 and 441,801.50

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Solution

The third proportional to 294,842.50 and 441,801.50 is: 662,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,842.50 : 441,801.50 = 441,801.50 : x
  2. Step 2: Convert to fraction form
    294,842.50/441,801.50 = 441,801.50/x
  3. Step 3: Cross multiply
    294,842.50x = 441,801.50 × 441,801.50
  4. Step 4: Simplify right side
    294,842.50x = 195,188,565,402.25
  5. Step 5: Solve for x
    x = 195,188,565,402.25/294,842.50
  6. Step 6: Final answer
    x = 662,009.60

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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.