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Finding the Third Proportional to 332,109 and 528,711

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Solution

The third proportional to 332,109 and 528,711 is: 841,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,109 : 528,711 = 528,711 : x
  2. Step 2: Convert to fraction form
    332,109/528,711 = 528,711/x
  3. Step 3: Cross multiply
    332,109x = 528,711 × 528,711
  4. Step 4: Simplify right side
    332,109x = 279,535,321,521
  5. Step 5: Solve for x
    x = 279,535,321,521/332,109
  6. Step 6: Final answer
    x = 841,697.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.