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Finding the Third Proportional to 332,129 and 528,738

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Solution

The third proportional to 332,129 and 528,738 is: 841,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,129 : 528,738 = 528,738 : x
  2. Step 2: Convert to fraction form
    332,129/528,738 = 528,738/x
  3. Step 3: Cross multiply
    332,129x = 528,738 × 528,738
  4. Step 4: Simplify right side
    332,129x = 279,563,872,644
  5. Step 5: Solve for x
    x = 279,563,872,644/332,129
  6. Step 6: Final answer
    x = 841,732.80

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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.