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Finding the Third Proportional to 294,928 and 645,050

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Solution

The third proportional to 294,928 and 645,050 is: 1,410,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,928 : 645,050 = 645,050 : x
  2. Step 2: Convert to fraction form
    294,928/645,050 = 645,050/x
  3. Step 3: Cross multiply
    294,928x = 645,050 × 645,050
  4. Step 4: Simplify right side
    294,928x = 416,089,502,500
  5. Step 5: Solve for x
    x = 416,089,502,500/294,928
  6. Step 6: Final answer
    x = 1,410,817.22

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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.