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Finding the Third Proportional to 410,586 and 614,220

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Solution

The third proportional to 410,586 and 614,220 is: 918,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,586 : 614,220 = 614,220 : x
  2. Step 2: Convert to fraction form
    410,586/614,220 = 614,220/x
  3. Step 3: Cross multiply
    410,586x = 614,220 × 614,220
  4. Step 4: Simplify right side
    410,586x = 377,266,208,400
  5. Step 5: Solve for x
    x = 377,266,208,400/410,586
  6. Step 6: Final answer
    x = 918,848.20

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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.