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Finding the Third Proportional to 294,140 and 414,210

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Solution

The third proportional to 294,140 and 414,210 is: 583,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,140 : 414,210 = 414,210 : x
  2. Step 2: Convert to fraction form
    294,140/414,210 = 414,210/x
  3. Step 3: Cross multiply
    294,140x = 414,210 × 414,210
  4. Step 4: Simplify right side
    294,140x = 171,569,924,100
  5. Step 5: Solve for x
    x = 171,569,924,100/294,140
  6. Step 6: Final answer
    x = 583,293.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.