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Finding the Third Proportional to 332,121 and 528,723

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Solution

The third proportional to 332,121 and 528,723 is: 841,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,121 : 528,723 = 528,723 : x
  2. Step 2: Convert to fraction form
    332,121/528,723 = 528,723/x
  3. Step 3: Cross multiply
    332,121x = 528,723 × 528,723
  4. Step 4: Simplify right side
    332,121x = 279,548,010,729
  5. Step 5: Solve for x
    x = 279,548,010,729/332,121
  6. Step 6: Final answer
    x = 841,705.31

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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.